Lithium cobalt oxides and methods of making same

ABSTRACT

The present invention includes lithium cobalt oxides having hexagonal layered crystal structures and methods of making same. The lithium cobalt oxides of the invention have the formula Li w Co 1−x A x O 2+y  wherein 0.96≦w≦1.05, 0≦x≦0.05,  
     −0.02≦y≦0.02 and A is one or more dopants. The lithium cobalt oxides of the invention preferably have a position within the principal component space defined by the relationship ax i +by i ≦c, wherein x i ={right arrow over (S)} i ·{right arrow over (P)} c1 ; y i ={right arrow over (S)} i ·{right arrow over (P)} c2 ; the vector {right arrow over (S)} i  is the x-ray spectrum for the Li w Co 1−x A x O 2+y  compound; the vectors {right arrow over (P)} c1  and {right arrow over (P)} c2  defining the principal component space are determined by measuring the x-ray powder diffraction values {right arrow over (S)} i  between 15° and 120° using a 0.02° step size and CuKα rays for a large sample set of lithium cobalt oxides and using the regression of {right arrow over (S)} i  of the sample set against the capacity fade after 50 cycles of a lithium coin cell that includes a lithium negative electrode and the lithium cobalt oxide as the positive electrode material and that is cycled between 3.0 and 4.3V at a constant current of C/3 during both charge and discharge cycles; and the values a, b and c are determined by using only the x i  and y i  values for Li w Co 1−x A x O 2+y  compounds in the sample set that have a capacity fade after 50 cycles of less than or equal to 15%.

CROSS REFERENCE TO RELATED APPLICATIONS

[0001] This application is a divisional of U.S. patent application Ser. No. 09/731,949, filed Dec. 7, 2000, which claims priority to U.S. Provisional Patent Application No. 60/170,221, filed Dec. 10, 1999, the disclosures of which are incorporated by reference herein in their entireties.

FIELD OF THE INVENTION

[0002] The present invention relates to lithium cobalt oxides for use as positive electrode materials for rechargeable lithium and lithium-ion secondary batteries, and to methods of making lithium cobalt oxides.

BACKGROUND OF THE INVENTION

[0003] LiCoO₂ is currently being used in over 95% of commercial lithium and lithium-ion secondary batteries as the active positive electrode material. The current production rate of lithium and lithium-ion batteries is about 30 million units per month with each unit containing about 10-15 g of LiCoO₂ (i.e., 300-450 metric tons/month).

[0004] LiCoO₂ can be made by a number of different methods by reacting a lithium salt and a cobalt salt. However, these methods often involve lengthy reaction times thereby reducing the rate of LiCoO₂ production.

[0005] Therefore, there is a need in the art to provide a method of preparing LiCoO₂ that demonstrates good performance in rechargeable lithium and lithium-ion secondary batteries and that can be produced with a relatively short reaction time.

SUMMARY OF THE INVENTION

[0006] The present invention includes lithium cobalt oxides having hexagonal layered crystal structures and methods of making same. The lithium cobalt oxides of the invention have the formula Li_(w)Co_(1−x)A_(x)O_(2+y) wherein 0.96≦w≦1.05, 0≦x≦0.05,

[0007] −0.02≦y≦0.02 and A is one or more dopants. Preferably, 0.98≦w≦1.02 and 0≦x≦0.02.

[0008] The lithium cobalt oxides of the invention preferably have a position within the principal component space defined by the following relationship:

ax _(i) +by _(i) ≦c

[0009] wherein x_(i)={right arrow over (S)}_(i)·{right arrow over (P)}_(c1); y_(i)={right arrow over (S)}_(i)·{right arrow over (P)}_(c2); the vector {right arrow over (S)}_(i) is the x-ray spectrum for the Li_(w)Co_(1−x)A_(x)O_(2+y) compound; the vectors {right arrow over (P)}_(c1) and {right arrow over (P)}_(c2) are determined by measuring the x-ray powder diffraction values {right arrow over (S)}_(i) between 15° and 120° using a 0.02° step size and CuKα rays for a large sample set of lithium cobalt oxides and using the regression of {right arrow over (S)}_(i) of the sample set against the capacity fade after 50 cycles of a lithium coin cell that includes a lithium negative electrode and the lithium cobalt oxide as the positive electrode material and that is cycled between 3.0 and 4.3V at a constant current of C/3 during both charge and discharge cycles; and the values a, b and c are determined by using only the x_(i) and y_(i) values for Li_(w)Co_(1−x)A_(x)O_(2+y) compounds in the sample set that have a capacity fade after 50 cycles of less than or equal to 15%.

[0010] More preferably, the lithium cobalt oxides of the invention have a position within the principal component space defined by the following relationship:

x _(i)+0.77y _(i)≦−6

[0011] wherein x_(i)={right arrow over (S)}_(i)·{right arrow over (P)}_(c1); y_(i)={right arrow over (S)}_(i)·{right arrow over (P)}_(c2); {right arrow over (S)}_(i) is the x-ray spectrum for the Li_(w)Co_(1−x)A_(x)O_(2+y) compound; and {right arrow over (P)}_(c1) and {right arrow over (P)}_(c2) are determined by measuring the x-ray powder diffraction values {right arrow over (S)}_(i) between 15° and 120° using a 0.02° step size and CuKα rays for a large sample set of lithium cobalt oxides and using the partial least squares regression (PLSR) of {right arrow over (S)}_(i) of the sample set against the capacity fade after 50 cycles of a lithium coin cell that includes a lithium negative electrode and the lithium cobalt oxide as the positive electrode material and that is cycled between 3.0 and 4.3V at a constant current of C/3 during both charge and discharge cycles. For example, {right arrow over (P)}_(c1) and {right arrow over (P)}_(c2) can be defined by the coefficients provided in Table 1 (wherein 2θ is the scattering angle of x-ray powder diffraction measurements using CuKα rays).

[0012] The lithium cobalt oxides of the invention can be used in the positive electrode of a rechargeable lithium or lithium-ion secondary battery in accordance with the invention. For the lithium cobalt oxides of the invention, the capacity fade of a lithium coin cell having a lithium negative electrode and using the lithium cobalt oxide as the positive electrode material when cycled between 3.0 and 4.3V at a constant current of C/3 during both charge and discharge cycles after 50 charge/discharge cycles is preferably less than or equal to 15%, more preferably less than or equal to 10%. Moreover, the initial specific discharge capacity is preferably greater than or equal to 154 mAh/g.

[0013] The lithium cobalt oxides of the invention are prepared by heating a lithium source compound, a cobalt source compound and optionally one or more source compounds that include dopants A at a temperature below about 850° C. to produce Li_(w)Co_(1−x)A_(x)O_(2+y) and heating the Li_(w)Co_(1−x)A_(x)O_(2+y) compound at a temperature from about 900° C. and 1000° C. to form and enhance the hexagonal layered crystal structure of the Li_(w)Co_(1−x)A_(x)O_(2+y) compound. The temperature in the first heating step is preferably from about 500° C. to about 850° C. and the temperature in the second heating step is preferably from about 950° C. to about 980° C. The source compounds in the first heating step can be heated at more than one temperature below about 850° C. In addition, the Li_(w)Co_(1−x)A_(x)O_(2+y) compound in the second heating step can be heated at more than one temperature from about 900° C. to about 1000° C. Preferably, the first heating step comprises heating the source compounds for a period of time of from about 30 minutes to about 3 hours and the second heating step comprises heating the source compounds for a period of time of from about 30 minutes to about 7 hours. The lithium source compound preferably used with the invention is selected from the group consisting of Li₂CO₃ and LiOH and the cobalt source compound is preferably selected from the group consisting of Co₃O₄ and Co(OH)₂. The lithium cobalt oxide is preferably cooled after the heating steps at a rate of from 8° C./min to 140° C./min, more preferably from 10° C./min to 100° C./min.

[0014] The present invention further includes a method of analyzing a compound to determine if the compound is suitable for use as the active positive electrode material in a lithium or lithium-ion secondary battery. The method of the invention comprises determining a principal component space defined by the relationship ax_(i)+by_(i)≦c, wherein x_(i)={right arrow over (S)}_(i)·{right arrow over (P)}_(c1); y_(i)={right arrow over (S)}_(i)·{right arrow over (P)}_(c2); the vector {right arrow over (S)}_(i) is the x-ray spectrum for the compound; the vectors {right arrow over (P)}_(c1) and {right arrow over (P)}_(c2) are determined by measuring the x-ray powder diffraction values {right arrow over (S)}_(i) for a predetermined range of 2θ values using a predetermined step size by sampling a plurality of samples of compounds having the same general formula as the compound and using the regression of {right arrow over (S)}_(i) of the sample set against predetermined battery performance data for the samples by incorporating the samples as the positive electrode active material in a lithium or lithium-ion secondary battery. The x_(i) and y_(i) values for the compounds in the sample set that have the predetermined battery performance data are then used to determine a, b and c. The compound is analyzed by measuring the x-ray diffraction spectra for the compound to obtain x and y values and determining whether the x and y values meet the relationship ax_(i)+by_(i)≦c and thus whether the compound possesses the battery performance and x-ray diffraction spectra suitable for use as the active positive electrode material.

[0015] The lithium cobalt oxides of the invention have good cycleability properties including good initial specific capacities and capacity fades and thus are desirable for use in rechargeable lithium and lithium-ion batteries. In addition, the lithium cobalt oxides of the present invention can be produced quickly in less than 10 hours and thus can be produced at a rate desired in the art.

[0016] These and other features and advantages of the present invention will become more readily apparent to those skilled in the art upon consideration of the following detailed description, which describes both the preferred and alternative embodiments of the present invention.

BRIEF DESCRIPTION OF THE DRAWINGS

[0017]FIG. 1 illustrates the positions of several samples in a principal component space as defined by the axes {right arrow over (P)}_(c1) and {right arrow over (P)}_(c2) with the dotted line representing x+0.77y=−6 in accordance with a preferred embodiment of the invention.

[0018]FIG. 2 illustrates the capacity fade after 50 cycles versus x+0.77y with the dotted line defining the principal component space of the samples of the invention having the desired x-ray powder diffraction values and a fade of less than or equal to 15% in accordance with a preferred embodiment of the invention.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS OF THE INVENTION

[0019] In the following detailed description, preferred embodiments are described in detail to enable practice of the invention. Although the invention is described with reference to these specific preferred embodiments, it will be understood that the invention is not limited to these preferred embodiments. But to the contrary, the invention includes numerous alternatives, modifications and equivalents as will become apparent from consideration of the following detailed description and accompanying drawings.

[0020] The present invention is directed to lithium cobalt oxides having the formula Li_(w)Co_(1−x)A_(x)O_(2+y) wherein 0.96≦w≦1.05, 0≦x≦0.05, −0.02≦y≦0.02 and A is one or more dopants. Preferably, 0.98≦w≦1.02 and 0≦x≦0.02. The dopants A are elements other than Co including metals and non-metals such as Ni, Mn, Ti, Zr, V, Mo, Mg, Ca, Sr, Ba, Al, Ga, Si, Ge, Sn, and combinations thereof. Preferably, the dopants A are selected to produce an oxidation state N wherein +2.5≦N≦+3.5, and preferably N is about 3. The average oxidation state N is based on the molar amounts of the dopants used and the valences of the dopants used. For example, if the dopants are 40% Ti⁴⁺ and 60% Mg²⁺, on a molar basis, the average oxidation state N would be (0.4)(+4)+(0.6)(+2)=+2.8.

[0021] The lithium cobalt oxides of the invention have a hexagonal layered crystal structure that is substantially single-phase and substantially free of localized cubic spinel-like structural phases on the surface of the crystal or within the crystal. The substantially single-phase, hexagonal layered structures of the compounds of the invention can be characterized, for example, by their powder x-ray diffraction patterns.

[0022] The lithium cobalt oxides of the present invention preferably have an initial specific discharge capacity of greater than or equal to 154 mAh/g and a capacity fade after 50 cycles of less than or equal to 15%. Specifically, when the lithium cobalt oxides are used as the positive electrode material in a lithium coin cell having a lithium negative electrode and the cell is cycled between 3.0 and 4.3V at a constant current of C/3 (3 hours for complete charge or discharge) during both the charge and discharge cycles, the cells have a capacity fade of less than or equal to 15% after 50 charge/discharge cycles. In these coin cells, NRC 2325 coin cell hardware and Celgard 3501 separators can be used. The electrolyte is typically 1M LiPF₆ in a 50:50 mixture of ethylene carbonate and dimethyl carbonate solvents. In addition, the positive electrode consists generally of 85% active material (by weight), 10% super S™ carbon black and 5% polyvinylidene fluoride (PVDF) as a binder polymer, coated on aluminum foil.

[0023] The lithium cobalt oxides of the invention have a capacity fade of less than or equal to 15% after 50 cycles and can also be characterized by their x-ray powder diffraction patterns, which describe the crystal properties of the lithium cobalt oxides. In particular, the lithium cobalt oxides of the invention can be characterized by their positions in a principal component space determined by conducting principal component analysis of x-ray powder diffraction spectra between 15° and 120° using a 0.02° step size and CuKα rays. In the principal component analysis, each x-ray spectrum is treated as a vector {right arrow over (S)}_(i).

[0024] It has been discovered using this principal component analysis that the crystal properties that are important to the rechargeable lithium battery performance can be described in the space defined generally by two vectors, namely, principal components {right arrow over (P)}_(c1) and {right arrow over (P)}_(c2). These two vectors are preferably determined by using the partial least squares regression of {right arrow over (S)}_(i) of a large sample set against the battery performance of the sample. This sample set includes lithium cobalt oxides having a capacity fade of less than or equal to 15% and lithium cobalt oxides having a capacity fade of greater than 15%.

[0025] The principal component space that includes the compounds of the invention having a capacity fade of less than or equal to 15% can be defined by the following relationship:

ax _(i) +by _(i) ≦c

[0026] wherein x_(i)={right arrow over (S)}_(i)·{right arrow over (P)}_(c1) (i.e. the projection of {right arrow over (S)}_(i) onto {right arrow over (P)}_(c1)); y_(i)={right arrow over (S)}_(i)·{right arrow over (P)}_(c2) (i.e. the projection of {right arrow over (S)}_(i) onto {right arrow over (P)}_(c2)); the vector {right arrow over (S)}_(i) is the x-ray spectrum for the Li_(w)Co_(1−x)A_(x)O_(2+y) compound. The vectors {right arrow over (P)}_(c1) and {right arrow over (P)}_(c2) defining the principal component space can be determined by measuring the x-ray powder diffraction values {right arrow over (S)}_(i) between 15° and 120° using a 0.02° step size and CuKα rays for a large sample set of lithium cobalt oxides and using the regression of {right arrow over (S)}_(i)of the sample set against the capacity fade after 50 cycles of a lithium coin cell that includes a lithium negative electrode and the lithium cobalt oxide as the positive electrode material and that is cycled between 3.0 and 4.3V at a constant current of C/3 during both charge and discharge cycles. The values a, b and c of the above relationship can then be determined by using the x_(i) and y_(i) values for Li_(w)Co_(1−x)A_(x)O_(2+y) compounds in the sample set that have a capacity fade after 50 cycles of less than equal to 15%, i.e., the Li_(w)Co_(1−x)A_(x)O_(2+y) compounds prepared according to the invention.

[0027] The vector {right arrow over (S)}_(i) is the x-ray diffraction spectrum of the ith sample and can be written as ${\overset{\rightarrow}{S}}_{i} = \begin{pmatrix} \vdots \\ s_{ij} \\ \vdots \end{pmatrix}$

[0028] where the element s_(ij) is the jth data point in the x-ray diffraction spectrum. In a partial least squares regression, the vector {right arrow over (S)}_(i) is autoscaled before the regression takes place. The autoscaling of {right arrow over (S)}_(i) is defined by ${\overset{\rightarrow}{S}}_{i}^{as} = \begin{pmatrix} \vdots \\ s_{ij}^{as} \\ \vdots \end{pmatrix}$

[0029] where the autoscaled element $s_{ij}^{as} = \frac{s_{ij} - {\overset{\_}{s}}_{j}}{\left( {\frac{1}{n - 1}{\sum\limits_{i}^{n}\quad \left( {s_{ij} - {\overset{\_}{s}}_{j}} \right)^{2}}} \right)^{1/2}}$

[0030] and {overscore (s)}_(j) is the mean of s_(ij).

[0031] In the preferred embodiment of the invention, the regression is carried out with the commercial software Pirouette 2.7 available from Infometrix Inc., and the details of the matrix bidiagonalization algorithm is described in R. Marine, “Analysis of two partial least squares algorithms for multivariate calibration”, Chemom. Intell. Lab. Syst. 2, 187-197 (1987).

[0032] In accordance with a preferred embodiment of the invention, by using principal component analysis, the lithium cobalt oxides of the invention have a position within the principal component space defined by the following relationship:

x _(i)+0.77y _(i)≦−6

[0033] wherein x_(i)={right arrow over (S)}_(i)·{right arrow over (P)}_(c1); y_(i)={right arrow over (S)}_(i)·{right arrow over (P)}_(c2); {right arrow over (S)}_(i) is the x-ray spectrum for the Li_(w)Co_(1−x)A_(x)O_(2+y) compound; and {right arrow over (P)}_(c1) and {right arrow over (P)}_(c2) are determined by measuring the x-ray powder diffraction values {right arrow over (S)}_(i) between 15° and 120° using a 0.02° step size and CuKα rays for a large sample set of lithium cobalt oxides and using the partial least squares regression (PLSR) of {right arrow over (S)}_(i) of the sample set against the capacity fade after 50 cycles of a lithium coin cell that includes a lithium negative electrode and the lithium cobalt oxide as the positive electrode material and that is cycled between 3.0 and 4.3V at a constant current of C/3 during both charge and discharge cycles. In particular, the vectors {right arrow over (P)}_(c1) and {right arrow over (P)}_(c2) can be defined by the coefficients provided in Table 1 below (wherein 2θ is the scattering angle for the x-ray powder diffraction measurements using CuKα rays). These measurements where obtained using a Rigaku RINT-2000 unit that includes a graphite monochrometer, a rotating anode x-ray source having a current of 150 mA and a voltage of 50 kV, anti-scattering slits set at 0.5°, and anti-divergence slits set at 0.5°. Alternative x-ray diffraction apparatus can also be used that produce comparable measurements to those produced with the above equipment and parameters. TABLE 1 Coefficients of Principal Components 2θ (°) P_(c1) P_(c2) 15 −0.01379 0.011723 15.02 −0.02049 0.005086 15.04 0.006858 0.020376 15.06 −0.00273 0.013492 15.08 −0.01666 0.000753 15.1 0.000904 0.016155 15.12 −0.02289 0.001471 15.14 0.018222 0.020191 15.16 −0.00612 0.017684 15.18 −0.01378 0.008202 15.2 −0.0095 0.014128 15.22 −0.00584 0.010502 15.24 −0.00241 0.014185 15.26 −0.0042 0.014822 15.28 −0.00359 0.010447 15.3 −0.01418 0.009492 15.32 −0.01268 0.006936 15.34 −0.01096 0.001104 15.36 −0.00484 0.013178 15.38 −0.02337 −0.00186 15.4 −0.0185 0.005159 15.42 −0.01369 0.007337 15.44 −0.00748 0.015817 15.46 −0.00627 0.009999 15.48 0.002923 0.016611 15.5 −0.0327 −0.00277 15.52 −0.00977 0.009888 15.54 −0.01803 0.005404 15.56 −0.0272 −0.00066 15.58 −0.01839 0.006056 15.6 −0.0327 0.000501 15.62 0.001235 0.010506 15.64 0.004628 0.021154 15.66 −0.01218 0.011076 15.68 −0.01306 0.005821 15.7 0.017059 0.026611 15.72 −0.00215 0.017464 15.74 −0.0196 0.00594 15.76 −0.00819 0.015374 15.78 −0.00688 0.011794 15.8 0.01031 0.017391 15.82 −0.01997 −0.00295 15.84 −0.01823 0.006279 15.86 −0.00796 0.011133 15.88 −0.02731 0.001556 15.9 0.008318 0.01921 15.92 −0.0037 0.014344 15.94 0.007567 0.02072 15.96 −0.02027 0.003245 15.98 −0.01705 0.007303 16 −0.01747 0.00762 16.02 −0.0059 0.013742 16.04 −0.02571 0.000434 16.06 0.00123 0.015174 16.08 −0.02673 0.00081 16.1 0.000934 0.018006 16.12 0.017173 0.026867 16.14 −0.0108 0.007938 16.16 −0.00499 0.020462 16.18 −0.00362 0.016295 16.2 −0.00302 0.013994 16.22 −0.01649 0.005174 16.24 0.002657 0.011788 16.26 −0.01986 −0.0036 16.28 −0.01192 0.004226 16.3 −0.0216 0.002932 16.32 −0.03076 0.000359 16.34 −0.01702 0.005958 16.36 −0.02097 0.004851 16.38 −0.01344 0.012995 16.4 −0.01126 0.013165 16.42 0.001416 0.0201 16.44 0.025535 0.029834 16.46 −0.01265 0.005022 16.48 −0.01707 0.005082 16.5 0.005849 0.023367 16.52 0.003071 0.01825 16.54 −0.03934 −0.00869 16.56 −0.01295 0.008321 16.58 −0.00574 0.015581 16.6 −0.02828 −0.00285 16.62 −0.01588 0.006001 16.64 −0.01989 −0.00238 16.66 −0.02108 0.008733 16.68 −0.01442 0.008242 16.7 −0.00424 0.017365 16.72 −0.01095 0.007871 16.74 −0.00145 0.015669 16.76 −0.01792 0.005363 16.78 0.009292 0.023795 16.8 −0.00379 0.015671 16.82 −0.01185 0.007864 16.84 −0.01481 0.001576 16.86 −0.00946 0.009989 16.88 −0.00497 0.015388 16.9 −0.00746 0.01278 16.92 −0.03313 −0.00509 16.94 −0.01766 0.002109 16.96 −0.00494 0.01206 16.98 −0.00709 0.017855 17 −0.01431 0.006401 17.02 −0.01241 0.00343 17.04 −0.02585 −0.00416 17.06 −0.00734 0.00579 17.08 −0.03602 −0.00662 17.1 −0.00885 0.012849 17.12 −0.02162 0.003466 17.14 −0.01382 0.007276 17.16 0.002953 0.018335 17.18 0.006901 0.019663 17.2 −0.00352 0.020061 17.22 −0.02859 0.0027 17.24 −0.01144 0.012464 17.26 −0.03014 −0.00211 17.28 −0.0056 0.008632 17.3 −0.02932 0.000458 17.32 −0.01885 0.006068 17.34 −0.01338 0.009713 17.36 −0.01327 0.004136 17.38 −0.00626 0.012486 17.4 0.002288 0.017792 17.42 −0.00633 0.012048 17.44 −0.02932 −0.00294 17.46 −0.00039 0.014183 17.48 −0.01081 0.008801 17.5 −0.02267 −0.00304 17.52 0.003663 0.017713 17.54 −0.02049 0.000378 17.56 0.0067 0.021219 17.58 −0.01785 0.002949 17.6 0.001532 0.017236 17.62 −0.01238 0.007066 17.64 0.003693 0.012661 17.66 −0.01064 0.009715 17.68 −0.0185 0.00766 17.7 −0.00282 0.013796 17.72 −0.01224 0.007896 17.74 −0.03033 0.001698 17.76 −0.00672 0.014106 17.78 −0.00992 0.012609 17.8 −0.02352 −0.0001 17.82 −0.01922 0.004327 17.84 −0.03537 −0.00201 17.86 −0.00691 0.014539 17.88 −0.00823 0.010325 17.9 −0.01341 0.01078 17.92 0 0.013573 17.94 −0.01114 0.009463 17.96 −0.00572 0.008522 17.98 −0.02047 0.006135 18 −0.01031 0.010396 18.02 −0.00853 0.011528 18.04 −0.00317 0.013069 18.06 −0.01715 0.00713 18.08 −0.00062 0.020628 18.1 −0.00577 0.02002 18.12 −0.02559 0.008019 18.14 −0.01586 0.015835 18.16 0.000448 0.021869 18.18 −0.00187 0.022937 18.2 −0.00621 0.022318 18.22 −0.01021 0.016616 18.24 0.001908 0.025647 18.26 −0.00583 0.022761 18.28 0.00156 0.024646 18.3 −0.00703 0.021783 18.32 −0.00067 0.027247 18.34 −0.01602 0.016852 18.36 −0.01335 0.020628 18.38 −0.01909 0.01856 18.4 −0.02006 0.015536 18.42 −0.02351 0.014997 18.44 −0.02153 0.017015 18.46 −0.0188 0.017999 18.48 −0.01399 0.020999 18.5 −0.01053 0.02539 18.52 −0.00807 0.025661 18.54 −0.01182 0.02357 18.56 −0.01555 0.022593 18.58 −0.01783 0.020098 18.6 −0.01662 0.02401 18.62 −0.01523 0.024262 18.64 −0.01423 0.026318 18.66 −0.01205 0.026828 18.68 −0.00672 0.029541 18.7 −0.00607 0.028658 18.72 −0.00782 0.027355 18.74 −0.00921 0.026907 18.76 −0.01379 0.023838 18.78 −0.01457 0.023663 18.8 −0.01132 0.025623 18.82 −0.00952 0.026797 18.84 −0.00795 0.026828 18.86 −0.00768 0.02646 18.88 −0.01061 0.024087 18.9 −0.01522 0.015187 18.92 −0.01149 −0.00123 18.94 −0.003 −0.01538 18.96 0.004311 −0.01926 18.98 0.005713 −0.02314 19 0.005803 −0.02582 19.02 0.004528 −0.02683 19.04 0.001276 −0.02729 19.06 −0.00563 −0.02604 19.08 −0.01074 −0.02421 19.1 −0.01258 −0.02395 19.12 −0.01098 −0.02261 19.14 −0.00698 −0.01835 19.16 −0.00141 −0.01051 19.18 −0.00059 −0.00635 19.2 −0.00516 −0.00579 19.22 −0.01103 −0.00632 19.24 −0.01105 −0.0089 19.26 −0.00862 −0.0063 19.28 0.001626 0.001747 19.3 0.002138 0.004458 19.32 0.009506 0.005949 19.34 −0.02337 −0.00964 19.36 −0.00841 0.004954 19.38 −0.00834 −0.0036 19.4 −0.01069 0.001743 19.42 −0.01694 −0.00205 19.44 −0.00984 0.002493 19.46 0.001291 0.010088 19.48 −0.00713 0.004186 19.5 −0.01293 0.004569 19.52 −0.00902 0.005117 19.54 −0.02137 0.000343 19.56 −0.02552 0.000334 19.58 −0.00517 0.011511 19.6 −0.0205 0.00186 19.62 −0.0191 0.001679 19.64 −0.01089 0.005838 19.66 −0.0001 0.010501 19.68 −0.02876 −0.004 19.7 −0.01223 0.010851 19.72 −0.01543 0.005512 19.74 −0.01617 0.006606 19.76 −0.01698 0.005792 19.78 0.000875 0.010478 19.8 −0.0166 0.003613 19.82 −0.02856 −0.00269 19.84 −0.01593 0.003634 19.86 −0.01928 0.005582 19.88 −0.01384 0.008353 19.9 −0.01143 0.012236 19.92 −0.01117 0.009301 19.94 −0.01072 0.014167 19.96 −0.01646 0.007919 19.98 −0.00695 0.013766 20 0.006355 0.018345 20.02 −0.00883 0.009009 20.04 −0.00965 0.005404 20.06 0.000385 0.012962 20.08 −0.03577 −0.00701 20.1 −0.00795 0.012584 20.12 −0.01401 0.008024 20.14 −0.01207 0.003991 20.16 −0.01908 0.006955 20.18 −0.00427 0.012219 20.2 −0.00489 0.013939 20.22 −0.00836 0.007352 20.24 −0.00177 0.016009 20.26 −0.02499 −0.00274 20.28 −0.02213 0.004903 20.3 0.010213 0.016127 20.32 −0.01616 −0.00078 20.34 −0.00898 0.0129 20.36 −0.00825 0.012261 20.38 −0.01249 0.011253 20.4 0.018624 0.026772 20.42 −0.02392 0.002221 20.44 −0.00965 0.010164 20.46 −0.03013 −0.00043 20.48 −0.02063 0.003867 20.5 −0.0043 0.008775 20.52 −0.00782 0.008298 20.54 −0.00894 0.011756 20.56 0.001089 0.009437 20.58 −0.00917 0.008298 20.6 −0.0232 0.001626 20.62 0.004427 0.014517 20.64 0.002383 0.017477 20.66 −0.00285 0.014939 20.68 0.00623 0.016666 20.7 −0.02066 0.001616 20.72 0.010311 0.021438 20.74 −0.00119 0.014322 20.76 −0.01471 0.010765 20.78 −0.02638 −0.00098 20.8 0.006671 0.02015 20.82 −0.03128 −0.00559 20.84 −0.02993 −0.00403 20.86 −0.01388 0.00209 20.88 −0.0082 0.013714 20.9 −0.01175 0.006298 20.92 −0.02048 0.008478 20.94 −0.00671 0.009965 20.96 −0.00476 0.011583 20.98 0.005786 0.01745 21 −0.01335 0.008671 21.02 −0.02061 0.000548 21.04 0.001174 0.015385 21.06 −0.01389 0.010398 21.08 −0.00554 0.013933 21.1 0.015595 0.019572 21.12 −0.0099 0.006623 21.14 −0.02205 0.000077 21.16 −0.01727 0.007892 21.18 0.005269 0.017743 21.2 −0.00134 0.013589 21.22 −0.0025 0.011282 21.24 0.002829 0.022534 21.26 −0.0005 0.01618 21.28 −0.03348 −0.00683 21.3 0.030437 0.029966 21.32 0.005396 0.016311 21.34 0.015538 0.026089 21.36 0.012517 0.019858 21.38 −0.0037 0.01472 21.4 0.004328 0.017924 21.42 −0.01284 0.006399 21.44 −0.00354 0.013166 21.46 −0.00175 0.015049 21.48 0.004041 0.016107 21.5 −0.02468 −0.00119 21.52 0.005123 0.018735 21.54 −0.01918 0.010905 21.56 0.005962 0.021907 21.58 −0.02169 0.004094 21.6 −0.01453 0.004601 21.62 −0.01533 0.006452 21.64 −0.00605 0.01121 21.66 −0.01616 0.009162 21.68 −0.00818 0.008133 21.7 −0.00971 0.006333 21.72 −0.02006 0.000296 21.74 −0.02026 0.005953 21.76 −0.01312 0.001919 21.78 −0.01507 0.005368 21.8 0.014438 0.024978 21.82 −0.02003 0.005478 21.84 −0.00485 0.010235 21.86 −0.01712 0.0038 21.88 −0.02135 −0.00073 21.9 −0.00265 0.013177 21.92 −0.00148 0.015218 21.94 −0.02628 0.002951 21.96 0.005492 0.025542 21.98 0.004907 0.018044 22 −0.01045 0.004247 22.02 −0.01846 0.005301 22.04 0.00628 0.016218 22.06 −0.01848 0.005893 22.08 −0.02252 0.005295 22.1 −0.03302 0.002246 22.12 −0.02128 −0.00092 22.14 −0.02499 0.001116 22.16 −0.02249 −0.00212 22.18 −0.02014 0.004931 22.2 −0.02813 0.001388 22.22 −0.00866 0.012586 22.24 −0.01909 0.001292 22.26 −0.01945 0.005159 22.28 −0.02593 −0.00321 22.3 −0.02255 0.000552 22.32 −0.0129 0.007749 22.34 −0.01307 0.00804 22.36 0.002625 0.015573 22.38 −0.0248 −0.00259 22.4 −0.0077 0.013756 22.42 0.007884 0.017561 22.44 −0.02733 0.001639 22.46 −0.0238 0.000782 22.48 −0.02771 −0.00575 22.5 −0.00173 0.010043 22.52 −0.01257 0.007468 22.54 −0.01333 0.00685 22.56 0.000981 0.010458 22.58 0.006026 0.00766 22.6 −0.01638 0.010483 22.62 −0.00178 0.013553 22.64 −0.01872 0.003838 22.66 0.003747 0.014632 22.68 −0.00616 0.008485 22.7 −0.00303 0.013119 22.72 −0.02635 −0.00475 22.74 −0.00408 0.013397 22.76 −0.02269 −0.00358 22.78 −0.00538 0.010801 22.8 −0.00284 0.012983 22.82 −0.01679 0.003658 22.84 0.008846 0.021592 22.86 −0.00917 0.00799 22.88 −0.00562 0.013578 22.9 −0.01283 0.007419 22.92 −0.00626 0.013858 22.94 −0.00926 0.008358 22.96 −0.00892 0.014315 22.98 −0.02426 −0.00322 23 −0.01972 0.000328 23.02 0.01007 0.021245 23.04 −0.01403 0.005833 23.06 −0.01464 0.006461 23.08 0.005973 0.01552 23.1 −0.03429 −0.00267 23.12 −0.00755 0.013801 23.14 −0.04371 −0.0155 23.16 −0.01093 0.008438 23.18 −0.02827 −0.00564 23.2 −0.00088 0.011403 23.22 −0.01145 0.009453 23.24 −0.02506 0.00081 23.26 −0.01379 0.007395 23.28 −0.01692 0.000941 23.3 −0.01316 0.011169 23.32 0.00768 0.017913 23.34 −0.00399 0.008139 23.36 −0.00279 0.015257 23.38 0.00113 0.015766 23.4 −0.01746 0.000192 23.42 −0.00605 0.005438 23.44 0.017311 0.025726 23.46 −0.01267 0.007595 23.48 −0.02628 −0.00073 23.5 −0.0217 −0.00025 23.52 −0.01736 0.00098 23.54 −0.01547 0.003639 23.56 −0.00221 0.010407 23.58 −0.01061 0.010618 23.6 −0.01905 0.004317 23.62 −0.01225 0.006182 23.64 −0.021 −0.00098 23.66 −0.02283 0.001196 23.68 −0.0178 0.007563 23.7 −0.01597 0.002931 23.72 −0.02643 0.002642 23.74 −0.00702 0.003834 23.76 0.001378 0.01575 23.78 −0.022 0.00328 23.8 −0.00388 0.017333 23.82 −0.02793 −0.00139 23.84 −0.00887 0.002761 23.86 −0.00579 0.003391 23.88 −0.01355 0.003078 23.9 −0.00188 0.018546 23.92 −0.01913 0.006185 23.94 −0.01102 0.005518 23.96 0.001974 0.018893 23.98 −0.00378 0.015227 24 −0.02221 0.004986 24.02 −0.00979 0.009019 24.04 −0.00435 0.012153 24.06 −0.02615 −0.00314 24.08 −0.03816 −0.00862 24.1 −0.02701 −0.00365 24.12 −0.03088 −0.00252 24.14 −0.00316 0.016163 24.16 −0.01106 0.003245 24.18 −0.02806 0.002902 24.2 −0.01107 0.010105 24.22 0.019514 0.023807 24.24 −0.00982 0.00959 24.26 −0.00739 0.006958 24.28 0.002216 0.01775 24.3 −0.017 0.003388 24.32 −0.01556 0.008514 24.34 −0.00748 0.00848 24.36 −0.00119 0.013486 24.38 −0.00266 0.015186 24.4 −0.02027 0.004786 24.42 −0.01667 0.006745 24.44 0.001616 0.012179 24.46 −0.01296 0.00123 24.48 −0.00333 0.009445 24.5 −0.01842 0.006243 24.52 0.009181 0.018398 24.54 0.003746 0.021953 24.56 0.001696 0.01495 24.58 −0.00925 0.008476 24.6 −0.00571 0.005147 24.62 −0.0149 0.003534 24.64 −0.00299 0.00898 24.66 0.005065 0.022226 24.68 −0.01245 0.007777 24.7 −0.01131 0.006099 24.72 −0.02172 −0.00368 24.74 −0.00289 0.010099 24.76 −0.00537 0.014523 24.78 −0.0095 0.010551 24.8 0.004244 0.013158 24.82 0.010712 0.018241 24.84 −0.00266 0.01372 24.86 −0.00677 0.012735 24.88 0.008761 0.022008 24.9 −0.00877 0.008737 24.92 −0.01968 0.00111 24.94 −0.00769 0.009958 24.96 −0.0031 0.010029 24.98 −0.02668 0.002323 25 −0.02494 −0.00192 25.02 −0.00857 0.010629 25.04 0.005546 0.016396 25.06 −0.00861 0.009162 25.08 −0.0262 0.000995 25.1 0.01366 0.023398 25.12 −0.0207 0.004447 25.14 −0.00097 0.014718 25.16 −0.02573 −0.00067 25.18 0.016504 0.027773 25.2 −0.00614 0.012067 25.22 −0.01746 0.009058 25.24 −0.03137 −0.00611 25.26 −0.02764 −0.0012 25.28 −0.01941 −0.00035 25.3 −0.02536 −0.00115 25.32 0.000333 0.010809 25.34 −0.01943 0.004198 25.36 −0.00413 0.012231 25.38 0.010904 0.019596 25.4 −0.00541 0.010338 25.42 −0.00498 0.01344 25.44 0.010043 0.019668 25.46 −0.01958 0.004682 25.48 −0.00628 0.013664 25.5 −0.01061 0.005871 25.52 −0.01913 0.004674 25.54 −0.01005 0.005347 25.56 −0.00419 0.010477 25.58 0.006916 0.014649 25.6 −0.00421 0.009707 25.62 −0.0081 0.005725 25.64 −0.01058 0.009645 25.66 −0.01522 0.007334 25.68 0.001527 0.014434 25.7 −0.0156 0.002469 25.72 0.001809 0.019528 25.74 −0.01565 0.008041 25.76 0.003336 0.01205 25.78 −0.0195 0.003922 25.8 −0.02285 0.002954 25.82 −0.015 0.009071 25.84 −0.01763 0.006081 25.86 −0.01897 −0.00537 25.88 0.002924 0.020215 25.9 −0.00287 0.011928 25.92 −0.01082 0.006704 25.94 −0.02791 −0.00291 25.96 0.005312 0.018242 25.98 −0.00511 0.013375 26 −0.0063 0.008874 26.02 0.007818 0.019922 26.04 −0.00214 0.01381 26.06 −0.02051 0.00237 26.08 −0.00228 0.012601 26.1 −0.00705 0.012003 26.12 −0.00996 0.010882 26.14 −0.0035 0.009221 26.16 −0.00914 0.005963 26.18 0.001914 0.019194 26.2 −0.00113 0.016394 26.22 −0.01984 0.004266 26.24 0.001612 0.017278 26.26 −0.00935 0.009986 26.28 −0.02268 0.000401 26.3 −0.00619 0.016747 26.32 −0.00725 0.006242 26.34 −0.01642 0.00659 26.36 −0.01089 0.006929 26.38 −0.00655 0.010025 26.4 −0.01423 0.006714 26.42 −0.00283 0.012455 26.44 −0.02344 0.00249 26.46 −0.01011 0.007331 26.48 0.002232 0.015685 26.5 −0.00471 0.009122 26.52 −0.02278 −0.00364 26.54 0.004199 0.019241 26.56 0.006031 0.016366 26.58 0.010566 0.017672 26.6 −0.02507 −0.0015 26.62 −0.01361 0.006748 26.64 −0.00867 0.009691 26.66 0.000598 0.008458 26.68 −0.00552 0.006225 26.7 −0.02224 0.002346 26.72 −0.01919 0.009327 26.74 −0.00769 0.006493 26.76 −0.01344 0.003947 26.78 −0.01288 0.003467 26.8 −0.00408 0.015847 26.82 −0.00521 0.01052 26.84 −0.00882 0.011913 26.86 −0.0129 0.006647 26.88 −0.01534 0.005824 26.9 −0.00805 0.014269 26.92 −0.00724 0.012557 26.94 0.015431 0.025878 26.96 −0.02073 0.001578 26.98 −0.00252 0.012251 27 −0.00817 0.012676 27.02 0.001597 0.013862 27.04 0.00347 0.020194 27.06 −0.02059 0.004236 27.08 −0.01943 0.004017 27.1 −0.00831 0.005192 27.12 −0.01406 0.008634 27.14 −0.01065 0.010937 27.16 −0.00515 0.011742 27.18 −0.01706 0.008871 27.2 −0.01483 0.001105 27.22 0.000447 0.012124 27.24 −0.02892 −0.00354 27.26 −0.02499 −0.00131 27.28 −0.02738 0.000582 27.3 0.005241 0.016228 27.32 −0.00391 0.013754 27.34 0.006421 0.021533 27.36 0.018528 0.026911 27.38 −0.02242 0.000776 27.4 0.005498 0.020277 27.42 −0.02724 −0.00294 27.44 0.009616 0.022676 27.46 −0.01744 0.00182 27.48 −0.00197 0.012919 27.5 0.009618 0.021362 27.52 −0.01545 0.002465 27.54 −0.03167 −0.00342 27.56 −0.0113 0.010606 27.58 −0.01945 0.004069 27.6 −0.00328 0.018147 27.62 −0.0171 0.004307 27.64 0.019697 0.021622 27.66 0.005681 0.019413 27.68 −0.02397 −0.0018 27.7 −0.02382 −0.00131 27.72 −0.00553 0.011185 27.74 −0.00847 0.012727 27.76 −0.02934 −0.00074 27.78 0.008647 0.022804 27.8 −0.01179 0.00403 27.82 −0.02378 −0.00068 27.84 −0.02046 0.001727 27.86 0.004824 0.016327 27.88 0.000938 0.008806 27.9 −0.01373 0.00965 27.92 −0.0005 0.016272 27.94 0.015177 0.025458 27.96 −0.01802 0.004884 27.98 −0.01153 0.006331 28 −0.03042 −0.0038 28.02 −0.01288 0.005578 28.04 −0.00379 0.013031 28.06 −0.02369 0.002368 28.08 −0.00065 0.01811 28.1 −0.01723 0.003797 28.12 −0.00192 0.015775 28.14 −0.00858 0.010935 28.16 −0.00669 0.01034 28.18 −0.01836 0.00244 28.2 0.010516 0.02167 28.22 −0.01699 0.00467 28.24 −0.00627 0.010137 28.26 −0.01977 0.00091 28.28 −0.01469 0.007629 28.3 −0.02661 0.000891 28.32 −0.01882 0.000967 28.34 −0.03158 −0.00224 28.36 −0.00515 0.010517 28.38 −0.00941 0.006748 28.4 −0.00756 0.009714 28.42 0.011084 0.022394 28.44 −0.00903 0.009018 28.46 0.004864 0.01783 28.48 −0.0079 0.009449 28.5 −0.01737 0.001732 28.52 −0.00364 0.007808 28.54 0.0059 0.018044 28.56 −0.0045 0.009878 28.58 −0.00975 0.008744 28.6 0.002862 0.016739 28.62 0.000083 0.014813 28.64 −0.00755 0.013734 28.66 −0.01132 0.012193 28.68 0.00133 0.016989 28.7 0.001462 0.01183 28.72 −0.02764 −0.00481 28.74 −0.02128 0.000332 28.76 −0.0063 0.01102 28.78 −0.02916 −0.00221 28.8 −0.02015 0.008284 28.82 −0.00019 0.014773 28.84 −0.01723 0.002924 28.86 −0.01419 0.001156 28.88 −0.00704 0.007962 28.9 0.010196 0.018418 28.92 −0.01382 0.008248 28.94 −0.0163 0.008812 28.96 −0.016 0.007167 28.98 0.002357 0.01828 29 −0.01221 0.007695 29.02 −0.0251 0.006927 29.04 −0.02535 0.000098 29.06 −0.00397 0.013823 29.08 −0.01404 0.008431 29.1 0.010195 0.022636 29.12 0.005695 0.016538 29.14 0.002258 0.018115 29.16 −0.01772 0.004794 29.18 0.001159 0.014385 29.2 −0.0092 0.007467 29.22 −0.01346 0.002319 29.24 −0.01994 0.006583 29.26 −0.00745 0.016102 29.28 0.014976 0.025483 29.3 −0.00281 0.014665 29.32 0.014037 0.022003 29.34 −0.01992 0.00479 29.36 0.002896 0.018062 29.38 −0.0073 0.0105 29.4 0.020844 0.024903 29.42 −0.02062 −0.0016 29.44 0.016068 0.028389 29.46 −0.00989 0.013432 29.48 −0.00538 0.010562 29.5 0.01339 0.022942 29.52 −0.01491 0.002251 29.54 0.0187 0.02469 29.56 −0.00622 0.01071 29.58 −0.01788 0.004856 29.6 −0.00868 0.003539 29.62 −8.1E−05 0.009763 29.64 0.003099 0.018182 29.66 −0.01044 0.006948 29.68 −0.01319 0.004393 29.7 −0.01604 0.002141 29.72 −0.0227 −0.00027 29.74 −0.02718 −0.00377 29.76 −0.01385 0.001537 29.78 −0.02563 0.000812 29.8 0.013076 0.02172 29.82 −0.01258 0.007628 29.84 0.000264 0.014495 29.86 −0.00824 0.008593 29.88 −0.00551 0.014503 29.9 −0.00649 0.008497 29.92 −0.01026 0.009555 29.94 −0.00609 0.008309 29.96 0.008504 0.02317 29.98 −0.01651 −9.8E−05 30 −0.0032 0.016386 30.02 −0.00223 0.012625 30.04 −0.00942 0.00727 30.06 −0.01206 0.010086 30.08 −0.00652 0.009938 30.1 0.001475 0.01733 30.12 −0.00949 0.009564 30.14 0.001704 0.013136 30.16 −0.00656 0.009109 30.18 −0.02383 0.002381 30.2 0.002981 0.015583 30.22 −0.01309 0.005521 30.24 −0.00388 0.01764 30.26 0.00401 0.016784 30.28 −0.00331 0.011388 30.3 −0.01989 0.006512 30.32 0.001651 0.016746 30.34 0.004464 0.015515 30.36 −0.00731 0.016502 30.38 −0.00776 0.010328 30.4 0.023111 0.028897 30.42 −0.00235 0.018385 30.44 0.01111 0.021558 30.46 0.006027 0.026659 30.48 0.017769 0.023064 30.5 0.026135 0.033952 30.52 0.018123 0.025153 30.54 −0.00103 0.01352 30.56 0.013664 0.020386 30.58 0.011993 0.020279 30.6 0.002853 0.015146 30.62 0.024847 0.027579 30.64 −0.00832 0.008861 30.66 −0.0036 0.018022 30.68 0.032136 0.031088 30.7 0.013275 0.022551 30.72 −0.01891 0.002249 30.74 −0.01116 0.002116 30.76 −0.02445 0.004766 30.78 0.004683 0.018027 30.8 −0.02769 −0.00355 30.82 0.01378 0.021965 30.84 −0.02251 0.000829 30.86 −0.01897 0.000111 30.88 −0.00984 0.001934 30.9 0.001901 0.014832 30.92 −0.02704 −0.00171 30.94 0.014571 0.016324 30.96 −0.00113 0.010285 30.98 −0.00741 0.012472 31 −0.00665 0.013505 31.02 −0.01032 0.006826 31.04 −0.01092 0.00532 31.06 −0.00616 0.012151 31.08 −0.01764 0.004348 31.1 0.000624 0.017634 31.12 0.005639 0.023065 31.14 −0.01207 0.007302 31.16 0.000254 0.014257 31.18 −0.02295 −0.00033 31.2 −0.01528 0.002097 31.22 −0.00267 0.008824 31.24 −0.01234 0.008548 31.26 −0.01836 −0.00163 31.28 0.007313 0.021627 31.3 0.002849 0.016382 31.32 −0.00709 0.01347 31.34 −0.00308 0.011328 31.36 −0.01354 0.007043 31.38 −0.00502 0.010034 31.4 −0.03349 −0.00523 31.42 −0.01144 0.003559 31.44 −0.01968 −0.00161 31.46 −0.00152 0.013478 31.48 −0.00555 0.00926 31.5 0.030193 0.033035 31.52 −7.3E−05 0.01216 31.54 0.006864 0.017784 31.56 −0.01044 0.012269 31.58 0.030593 0.033164 31.6 −0.01115 0.009799 31.62 0.003676 0.016094 31.64 0.001955 0.015344 31.66 0.016509 0.028698 31.68 0.000465 0.017275 31.7 0.025884 0.03104 31.72 0.008125 0.019226 31.74 0.013191 0.023575 31.76 0.014479 0.02358 31.78 0.018473 0.029406 31.8 0.004989 0.016899 31.82 0.031748 0.031703 31.84 0.020072 0.028479 31.86 0.013073 0.02574 31.88 0.000985 0.015379 31.9 −0.01767 0.003861 31.92 0.01701 0.027537 31.94 0.019866 0.029487 31.96 −0.01266 0.005426 31.98 0.005567 0.02107 32 −0.01995 0.005691 32.02 −0.02459 −0.00245 32.04 −0.01932 0.003482 32.06 0.005429 0.020827 32.08 −0.01778 0.00395 32.1 −0.01029 0.005051 32.12 −0.00443 0.011386 32.14 0.003423 0.019453 32.16 −0.00569 0.013532 32.18 −0.00778 0.00714 32.2 −0.02025 0.001867 32.22 0.004379 0.017767 32.24 −0.02923 −0.00157 32.26 −0.01327 0.004046 32.28 −0.01906 0.002395 32.3 −0.00892 0.004087 32.32 0.005644 0.015182 32.34 −0.02007 0.004015 32.36 0.005043 0.015201 32.38 0.004733 0.019663 32.4 −0.01404 0.012699 32.42 0.032235 0.035912 32.44 −0.00028 0.015281 32.46 0.009437 0.02088 32.48 0.003368 0.018178 32.5 −0.01152 0.006845 32.52 −0.0292 0.00523 32.54 −0.00375 0.019224 32.56 −0.01017 0.009151 32.58 0.002898 0.011601 32.6 0.008722 0.019379 32.62 0.002746 0.011536 32.64 0.005034 0.015214 32.66 0.002667 0.020189 32.68 −0.00588 0.010532 32.7 −0.00463 0.0126 32.72 −0.0017 0.01345 32.74 −0.00694 0.007963 32.76 0.011784 0.019523 32.78 −0.00829 0.008339 32.8 0.003194 0.015366 32.82 −0.02057 0.004601 32.84 −0.02376 −0.00071 32.86 −0.00409 0.011251 32.88 −0.00469 0.014445 32.9 0.001594 0.017117 32.92 −0.01193 0.006187 32.94 −0.02586 0.003907 32.96 −0.01315 0.001155 32.98 −0.02658 −0.00299 33 0.006225 0.019847 33.02 −0.01973 0.006251 33.04 −0.02017 0.002713 33.06 0.01257 0.021751 33.08 −0.00871 0.010671 33.1 −0.01366 0.002939 33.12 −0.00459 0.010636 33.14 −0.00593 0.010916 33.16 0.001156 0.010902 33.18 −0.00892 0.003827 33.2 −0.00791 0.006356 33.22 −0.00919 0.013444 33.24 −0.02161 −3.7E−05 33.26 0.00199 0.013131 33.28 −0.00336 0.014706 33.3 −0.02591 0.000538 33.32 −0.00835 0.010279 33.34 0.006869 0.021395 33.36 −0.01945 0.002014 33.38 −0.01373 0.004159 33.4 −0.00412 0.006637 33.42 −0.01256 0.003792 33.44 0.004991 0.01703 33.46 −0.00026 0.012747 33.48 0.003139 0.015999 33.5 −0.00821 0.008497 33.52 −0.01395 0.007341 33.54 −0.01824 0.006169 33.56 −0.00705 0.01106 33.58 −0.00558 0.011178 33.6 0.002844 0.015366 33.62 −0.00182 0.016945 33.64 −0.01399 0.007736 33.66 0.006651 0.021143 33.68 −0.00741 0.009405 33.7 −0.01939 0.006642 33.72 −0.02219 −0.00053 33.74 0.00065 0.015869 33.76 0.013841 0.017178 33.78 0.011878 0.020543 33.8 −0.02161 −0.00179 33.82 −0.01516 0.006838 33.84 −0.0337 −0.00773 33.86 −0.00553 0.006652 33.88 −0.00346 0.010502 33.9 0.014919 0.02145 33.92 −0.00221 0.008853 33.94 0.017466 0.023787 33.96 −0.01672 0.001938 33.98 −0.03564 −0.00356 34 0.002283 0.016591 34.02 −0.00945 0.010918 34.04 −0.00947 0.011189 34.06 −0.00062 0.010941 34.08 −0.00222 0.013839 34.1 0.013336 0.020261 34.12 −0.00086 0.01424 34.14 −0.00297 0.013978 34.16 −0.004 0.011465 34.18 −0.0015 0.013011 34.2 0.016505 0.019066 34.22 −0.01874 −0.0022 34.24 −0.0228 −0.00229 34.26 −0.01549 0.004474 34.28 −0.02362 −0.00225 34.3 −0.01827 0.003237 34.32 0.008803 0.015433 34.34 −0.03694 −0.00986 34.36 −0.04722 −0.01675 34.38 −0.01057 0.005552 34.4 −0.01565 0.00636 34.42 −0.01861 0.000058 34.44 −0.01317 0.008012 34.46 0.004923 0.024582 34.48 0.007405 0.021616 34.5 −0.00471 0.015837 34.52 0.004011 0.009376 34.54 −0.00482 0.009305 34.56 0.01 0.015938 34.58 −0.01041 0.011472 34.6 −0.02353 0.000591 34.62 −0.01552 0.005716 34.64 −0.00242 0.009526 34.66 −0.00696 0.01039 34.68 0.002172 0.016381 34.7 −0.00084 0.01396 34.72 −0.0246 −0.00442 34.74 −0.01037 0.012368 34.76 −0.02537 0.006835 34.78 −0.00422 0.011447 34.8 0.011139 0.019368 34.82 −0.0106 0.006716 34.84 −0.04202 −0.00794 34.86 0.002865 0.016437 34.88 −0.03471 −0.01058 34.9 0.003278 0.014302 34.92 0.016522 0.019532 34.94 −0.00693 0.011526 34.96 −0.00439 0.007038 34.98 −0.00628 0.009208 35 −0.01262 0.005114 35.02 −0.01982 0.003502 35.04 0.005737 0.015192 35.06 −0.00214 0.018302 35.08 −0.00771 0.012526 35.1 0.009119 0.019586 35.12 −0.01811 0.001313 35.14 −0.0268 −0.00464 35.16 −0.00267 0.013068 35.18 −0.00951 0.004513 35.2 −0.02567 −0.00167 35.22 −0.02181 0.000775 35.24 −0.01087 0.007925 35.26 −0.01362 0.005992 35.28 −0.00517 0.011224 35.3 −0.00474 0.00729 35.32 −0.01081 0.008576 35.34 −0.01815 0.008631 35.36 0.009374 0.019001 35.38 −0.00678 0.008848 35.4 −0.03153 −0.00685 35.42 −0.02454 0.003717 35.44 0.007427 0.021312 35.46 0.020196 0.018474 35.48 −0.00155 0.007739 35.5 0.008345 0.020513 35.52 −0.00127 0.015958 35.54 −0.00113 0.009531 35.56 −0.01507 0.004768 35.58 0.010779 0.01968 35.6 −0.01315 0.006617 35.62 −0.00569 0.011114 35.64 −0.00159 0.018301 35.66 −0.00158 0.006585 35.68 −0.01076 0.010447 35.7 −0.02272 0.000283 35.72 −0.00648 0.010068 35.74 −0.01876 0.004051 35.76 −0.02052 0.004838 35.78 −0.01165 0.006354 35.8 −0.03664 −0.00645 35.82 −0.0062 0.016039 35.84 −0.0083 0.014194 35.86 −0.00858 0.005058 35.88 0.007249 0.019764 35.9 −0.0031 0.013031 35.92 −0.01974 0.002045 35.94 −0.01097 0.010728 35.96 −0.00183 0.008395 35.98 −0.00467 0.010105 36 0.004798 0.016298 36.02 −0.00114 0.008773 36.04 −0.01459 0.003437 36.06 0.016053 0.02293 36.08 0.01472 0.020758 36.1 −0.01364 0.007037 36.12 −0.02592 −0.00082 36.14 −0.00101 0.018409 36.16 0.001831 0.017042 36.18 −0.00765 0.005269 36.2 −0.00059 0.009734 36.22 −0.00929 0.008077 36.24 −0.02806 −0.001 36.26 −0.01306 0.008169 36.28 0.008648 0.019446 36.3 −0.01763 0.000977 36.32 0.01989 0.023905 36.34 −0.02686 0.000448 36.36 −0.00988 0.008583 36.38 −0.00441 0.010648 36.4 −0.00747 0.008667 36.42 −0.01358 0.003272 36.44 −0.00526 0.007282 36.46 0.008331 0.021593 36.48 0.006504 0.018276 36.5 −0.00687 0.009015 36.52 −0.00557 0.010854 36.54 −0.00313 0.008928 36.56 −0.00035 0.015287 36.58 −0.0152 −0.00251 36.6 −0.01613 0.008349 36.62 −0.00332 0.010132 36.64 −0.01691 0.005944 36.66 0.00509 0.015287 36.68 −0.00347 0.007346 36.7 0.002245 0.015181 36.72 −0.02243 −0.00367 36.74 −0.00027 0.00669 36.76 −0.01887 −0.00211 36.78 −0.00733 0.0075 36.8 −0.00839 0.00454 36.82 0.005324 0.007557 36.84 −0.00702 0.004762 36.86 0.013369 0.01396 36.88 −0.00469 −0.00057 36.9 −0.01001 −0.00115 36.92 0.008325 0.010895 36.94 −0.0079 0.006352 36.96 −0.00982 0.005495 36.98 −0.00329 0.008544 37 −0.01053 0.010457 37.02 −0.00882 0.015864 37.04 0.009285 0.027611 37.06 −0.00413 0.022436 37.08 −0.00846 0.019435 37.1 −0.00522 0.024844 37.12 −0.01819 0.018777 37.14 −0.013 0.025585 37.16 −0.00916 0.027147 37.18 −0.00965 0.027117 37.2 −0.01576 0.023712 37.22 −0.01588 0.024411 37.24 −0.02041 0.021323 37.26 −0.01909 0.022525 37.28 −0.01657 0.023997 37.3 −0.0175 0.023549 37.32 −0.01702 0.02322 37.34 −0.01774 0.023137 37.36 −0.02396 0.019223 37.38 −0.02314 0.012443 37.4 −0.00635 −0.00316 37.42 0.013541 −0.01083 37.44 0.015086 −0.01257 37.46 −0.0007 −0.01329 37.48 −0.01609 −0.01843 37.5 −0.00035 −0.02139 37.52 0.015298 −0.01877 37.54 0.015279 −0.02063 37.56 0.013541 −0.01996 37.58 0.003797 −0.02092 37.6 −0.00519 −0.02077 37.62 −0.00597 −0.01952 37.64 −0.00931 −0.02033 37.66 −0.00143 −0.01362 37.68 −0.00278 −0.0039 37.7 −0.01224 −0.00584 37.72 −0.00687 −0.00473 37.74 −0.00621 0.001787 37.76 0.007666 0.005383 37.78 −0.01494 0.00047 37.8 −0.01318 0.000854 37.82 0.005312 0.022019 37.84 −0.00329 0.017552 37.86 −0.01262 0.004109 37.88 −0.00918 0.010258 37.9 −0.02066 0.000259 37.92 −0.02209 0.000991 37.94 −0.01143 0.008404 37.96 −0.0028 0.013546 37.98 −0.00455 0.010294 38 −0.00196 0.015279 38.02 −0.00038 0.018473 38.04 0.005849 0.019527 38.06 −0.00101 0.018423 38.08 0.004052 0.02103 38.1 −0.01651 0.012178 38.12 −0.005 0.025003 38.14 −0.01566 0.015165 38.16 0.00228 0.030547 38.18 −0.0104 0.020912 38.2 −0.00987 0.024819 38.22 −0.00295 0.028311 38.24 −0.00817 0.025126 38.26 0.000071 0.030764 38.28 −0.01174 0.024131 38.3 −0.01014 0.026126 38.32 −0.01341 0.024132 38.34 −0.01344 0.023197 38.36 −0.01476 0.01989 38.38 −0.01401 0.009605 38.4 0.003812 −0.0008 38.42 0.012143 −0.01294 38.44 0.015499 −0.01359 38.46 0.009391 −0.01748 38.48 −0.00321 −0.02057 38.5 0.004162 −0.01609 38.52 0.01066 −0.01951 38.54 0.014858 −0.01975 38.56 0.016969 −0.01951 38.58 0.012016 −0.02129 38.6 −0.00584 −0.02651 38.62 −0.007 −0.01784 38.64 −0.00046 −0.00909 38.66 0.005252 0.007621 38.68 0.007242 0.015764 38.7 0.008513 0.016245 38.72 0.007346 0.021039 38.74 −0.02044 0.005124 38.76 −0.00054 0.020978 38.78 −0.00949 0.019303 38.8 −0.03259 0.004364 38.82 −0.01554 0.017219 38.84 −0.02864 0.014419 38.86 −0.0127 0.022256 38.88 −0.00528 0.029242 38.9 −0.01632 0.020757 38.92 −0.01133 0.02495 38.94 −0.01291 0.025584 38.96 −0.0185 0.022869 38.98 −0.0134 0.025426 39 −0.01134 0.026429 39.02 −0.01531 0.024395 39.04 −0.01442 0.022007 39.06 −0.01211 0.004554 39.08 0.009892 −0.01012 39.1 0.020535 −0.01101 39.12 0.011887 −0.01293 39.14 −0.0138 −0.01464 39.16 −0.01067 −0.01762 39.18 0.00412 −0.02285 39.2 0.017982 −0.01844 39.22 0.013978 −0.02114 39.24 0.009008 −0.02217 39.26 −0.00018 −0.02046 39.28 −0.00504 −0.01666 39.3 −0.00396 −0.0139 39.32 0.003972 −0.00169 39.34 −0.01121 −0.01286 39.36 −0.00271 0.004501 39.38 0.019857 0.025798 39.4 −0.01694 −0.00112 39.42 −0.00456 0.009305 39.44 −0.01411 0.003253 39.46 0.02052 0.024105 39.48 0.002086 0.012012 39.5 −0.01084 0.009234 39.52 0.009228 0.017061 39.54 −0.00665 0.009525 39.56 0.012552 0.01857 39.58 0.00452 0.014193 39.6 0.00228 0.012717 39.62 −0.00301 0.01298 39.64 −0.00693 0.007842 39.66 0.014476 0.023379 39.68 −0.00225 0.012816 39.7 −0.0182 0.005316 39.72 −0.02555 0.002669 39.74 −0.00967 0.010916 39.76 −0.00369 0.018493 39.78 −0.01853 0.00174 39.8 0.018086 0.025473 39.82 −0.01644 0.009201 39.84 0.035291 0.03467 39.86 0.001612 0.014123 39.88 −0.00313 0.015989 39.9 −0.00874 0.010056 39.92 −0.0123 0.008561 39.94 0.005641 0.020001 39.96 0.014919 0.021149 39.98 −0.00977 0.009148 40 −0.00364 0.017301 40.02 −0.02213 −0.00229 40.04 −0.01738 0.007055 40.06 −0.00597 0.014781 40.08 0.010478 0.018596 40.1 −0.00146 0.010396 40.12 −0.01401 0.002465 40.14 −0.00844 0.005218 40.16 −0.00857 0.010411 40.18 −0.01068 0.005943 40.2 −0.00528 0.007657 40.22 0.007827 0.019336 40.24 0.012368 0.022233 40.26 −0.00253 0.012181 40.28 −0.00717 0.011315 40.3 −0.01218 0.006541 40.32 0.004902 0.020101 40.34 −0.00329 0.014063 40.36 −0.02763 −0.00681 40.38 −0.00635 0.012211 40.4 −0.00823 0.011837 40.42 −0.00855 0.009783 40.44 −0.00728 0.00798 40.46 −0.02597 0.001328 40.48 0.001732 0.013927 40.5 −0.01381 −0.00034 40.52 −0.00317 0.01163 40.54 −0.00574 0.012976 40.56 −0.0307 −0.00345 40.58 −0.01872 0.001796 40.6 −0.01112 0.009164 40.62 −0.01683 0.00708 40.64 −0.01282 0.008174 40.66 0.001824 0.012103 40.68 −0.01139 0.006295 40.7 0.012456 0.01775 40.72 −0.00847 0.005684 40.74 −0.00903 0.010948 40.76 −0.01452 0.006288 40.78 −0.00813 0.009476 40.8 −0.006 0.005171 40.82 −0.02239 −0.00212 40.84 −0.00676 0.013198 40.86 −0.00766 0.009039 40.88 −0.01351 0.008042 40.9 0.006809 0.021375 40.92 −0.0193 0.00716 40.94 0.001412 0.015899 40.96 0.008119 0.013217 40.98 −0.00917 0.008533 41 −0.00412 0.019327 41.02 0.000987 0.015488 41.04 0.001283 0.011292 41.06 −0.01512 0.002774 41.08 −0.00414 0.009785 41.1 −0.01485 0.007443 41.12 −0.01524 0.007527 41.14 −0.01999 0.003947 41.16 0.000493 0.014566 41.18 −0.0027 0.013729 41.2 −0.01115 0.00793 41.22 −0.00069 0.010898 41.24 −0.00289 0.013226 41.26 0.005165 0.019632 41.28 −0.01591 0.000492 41.3 0.000341 0.013416 41.32 −0.00444 0.007369 41.34 0.009833 0.021127 41.36 −0.01725 −0.00238 41.38 −0.00573 0.013665 41.4 0.038508 0.036507 41.42 −0.00261 0.013851 41.44 −0.00025 0.016103 41.46 0.003349 0.015699 41.48 −0.01221 0.004093 41.5 −0.00287 0.017163 41.52 −0.01245 0.007951 41.54 −0.0201 0.005301 41.56 −0.00493 0.014465 41.58 −0.00671 0.006329 41.6 −0.01115 0.009628 41.62 −0.00234 0.01714 41.64 −0.01066 0.008073 41.66 −0.01613 0.008872 41.68 −0.00199 0.016229 41.7 −0.00737 0.011801 41.72 −0.01908 0.002862 41.74 0.017629 0.02243 41.76 −0.0089 0.012001 41.78 0.013997 0.020294 41.8 −0.00687 0.004861 41.82 −0.0157 0.007673 41.84 0.006165 0.016911 41.86 −0.01825 0.001891 41.88 0.016677 0.02101 41.9 −0.01587 0.002428 41.92 0.016665 0.026325 41.94 −0.01352 0.008406 41.96 −0.00401 0.011788 41.98 −0.01055 0.005881 42 −0.0013 0.014195 42.02 −0.01158 0.005826 42.04 −0.00641 0.009857 42.06 −0.00403 0.008856 42.08 −0.00042 0.014461 42.1 −0.01838 0.007031 42.12 −0.00303 0.016564 42.14 −0.00306 0.005662 42.16 −0.01729 0.000943 42.18 −0.01568 0.003091 42.2 −0.01444 0.006186 42.22 −0.0121 0.009971 42.24 0.003193 0.017657 42.26 0.007657 0.016608 42.28 0.00035 0.014258 42.3 −0.00995 0.006205 42.32 −0.01704 0.003055 42.34 −0.00717 0.006644 42.36 0.01101 0.02799 42.38 0.005154 0.020168 42.4 −0.0114 0.009381 42.42 −0.0057 0.013384 42.44 0.006059 0.019167 42.46 0.008619 0.016958 42.48 −0.00503 0.012566 42.5 0.015122 0.023036 42.52 0.009283 0.023444 42.54 −0.00558 0.012165 42.56 −0.00222 0.010993 42.58 −0.00618 0.012958 45.36 0.007573 −0.02123 45.38 0.017723 −0.01984 45.4 0.018717 −0.02032 45.42 0.011858 −0.02202 45.44 0.001017 −0.02335 45.46 −0.00073 −0.02004 45.48 −0.00073 −0.01821 45.5 −0.00807 −0.02125 45.52 0.004114 −0.01188 45.54 0.001748 −0.008 45.56 0.011254 −0.00185 45.58 0.008126 −0.00266 45.6 0.002 −0.00281 45.62 −0.0142 −0.0095 45.64 0.008925 0.007085 45.66 0.005076 0.010577 45.68 0.005632 0.009913 45.7 −0.01929 0.0003 45.72 −0.01727 −0.00237 45.74 −0.00916 0.007911 45.76 0.00332 0.016639 45.78 −0.00651 0.010099 45.8 −0.02587 −0.00665 45.82 −0.01466 0.00748 45.84 −0.00582 0.005428 45.86 0.013014 0.023774 45.88 −0.01425 0.007727 45.9 −0.01221 0.006998 45.92 0.001145 0.014205 45.94 −0.00897 0.012569 45.96 −0.01034 0.010102 45.98 −0.01344 0.003183 46 −0.01379 0.008254 46.02 −0.00608 0.012955 46.04 −0.02467 0.008075 46.06 −0.0072 0.011797 46.08 0.004129 0.02037 46.1 −0.01 0.010983 46.12 −0.00894 0.014356 46.14 0.014145 0.023917 46.16 −0.0089 0.01574 46.18 −0.00467 0.011685 46.2 −0.00208 0.01393 46.22 0.01379 0.025905 46.24 −0.02895 −0.00447 46.26 −0.0057 0.012703 46.28 −0.02719 −0.00161 46.3 0.016492 0.026565 46.32 −0.01653 0.006379 46.34 −0.00557 0.014792 46.36 −0.0107 0.009823 46.38 0.011821 0.023618 46.4 −0.02874 −0.00324 46.42 −0.02039 0.004919 46.44 −0.00215 0.011844 46.46 −0.00235 0.015802 46.48 0.006047 0.02347 46.5 −0.00743 0.010414 46.52 −0.0201 0.000271 46.54 −0.0102 0.006273 46.56 −0.02247 0.002476 46.58 0.001202 0.018532 46.6 −0.01145 0.009647 46.62 −0.01239 0.00623 46.64 0.011144 0.017939 46.66 −0.01179 0.007317 46.68 −0.01471 0.009838 46.7 −0.01525 0.007429 46.72 −0.01465 0.005854 46.74 −0.00664 0.011989 46.76 0.009459 0.01976 46.78 −0.0031 0.008937 46.8 −0.01085 0.011709 46.82 0.004973 0.018476 46.84 −0.00428 0.007847 46.86 −0.00237 0.012744 46.88 −0.00287 0.013631 46.9 −0.0167 0.007019 46.92 −0.0207 0.001446 46.94 −0.00553 0.002513 46.96 0.018616 0.025335 46.98 −0.00588 0.014972 47 −0.00278 0.008494 47.02 0.006851 0.01984 47.04 −0.0108 0.010339 47.06 −0.001 0.014593 47.08 −0.00168 0.013539 47.1 −0.0155 0.006479 47.12 0.003965 0.017529 47.14 0.026192 0.030702 47.16 −0.00859 0.006141 47.18 −0.00129 0.014349 47.2 −0.01543 0.005044 47.22 −0.00913 0.004059 47.24 0.002328 0.015661 47.26 0.000448 0.017717 47.28 −0.00264 0.012393 47.3 −0.01609 0.007544 47.32 0.004602 0.018599 47.34 −0.0103 0.007614 47.36 0.008756 0.018755 47.38 0.001633 0.017959 47.4 0.003902 0.015982 47.42 −0.01014 0.004401 47.44 −0.02631 −0.00063 47.46 −0.01574 0.009701 47.48 −0.00105 0.00943 47.5 −0.01526 0.009385 47.52 0.000142 0.01189 47.54 −0.01084 0.009873 47.56 −0.00613 0.007757 47.58 0.00721 0.015491 47.6 −0.0308 −0.00992 47.62 −0.02246 −0.00328 47.64 −0.009 0.00551 47.66 −0.0098 0.009168 47.68 −0.01516 0.002191 47.7 −0.00507 0.010512 47.72 −0.00469 0.010641 47.74 0.011659 0.021232 47.76 −0.03527 −0.00573 47.78 −0.01779 0.000005 47.8 −0.01432 0.002729 47.82 −0.03046 −0.00545 47.84 −0.00919 0.010536 47.86 −0.0038 0.010727 47.88 −0.0098 0.007254 47.9 0.0034 0.015573 47.92 0.006108 0.008474 47.94 −0.00162 0.011186 47.96 −0.01597 0.003812 47.98 −0.00728 0.011431 48 −0.01291 0.006579 48.02 0.006953 0.02176 48.04 −0.02151 0.001396 48.06 0.004481 0.020214 48.08 0.006197 0.017652 48.1 0.000009 0.012763 48.12 −0.00719 0.010285 48.14 −0.00576 0.013514 48.16 −0.01763 0.004911 48.18 −0.00973 0.008559 48.2 −0.01276 0.005467 48.22 0.003461 0.015175 48.24 −0.00558 0.009064 48.26 −0.0179 0.006129 48.28 −0.00875 0.010369 48.3 0.005201 0.017535 48.32 −0.0324 −0.00249 48.34 0.011856 0.020991 48.36 0.005825 0.016036 48.38 −0.00305 0.007563 48.4 −0.00788 0.004788 48.42 −0.00335 0.010091 48.44 −0.00752 0.010548 48.46 −0.00101 0.012071 48.48 −0.02666 −0.00904 48.5 −0.00623 0.013275 48.52 −0.01174 0.010395 48.54 0.001591 0.017361 48.56 −0.0112 0.00921 48.58 −0.00783 0.0073 48.6 −0.00276 0.014514 48.62 −0.01521 0.006778 48.64 −0.02319 0.001009 48.66 −0.01384 0.006131 48.68 −0.00493 0.01145 48.7 −0.014 0.006046 48.72 −0.01388 0.009318 48.74 −0.00989 0.007111 48.76 0.000456 0.016566 48.78 −0.01588 0.002643 48.8 0.029267 0.030979 48.82 0.001492 0.009883 48.84 0.00743 0.01796 48.86 0.012198 0.021949 48.88 0.006882 0.01598 48.9 −0.00793 0.010099 48.92 0.008311 0.021901 48.94 0.012372 0.023006 48.96 −0.02482 −0.00627 48.98 −0.02676 0.005251 49 −0.00372 0.01403 49.02 0.014828 0.025121 49.04 −0.01767 0.003385 49.06 −0.00811 0.014194 49.08 −0.01427 0.007029 49.1 0.001949 0.020607 49.12 −0.01018 0.016655 49.14 0.006345 0.032103 49.16 −0.01324 0.018449 49.18 −0.01806 0.015733 49.2 −0.01209 0.019794 49.22 −0.00982 0.021613 49.24 −0.00606 0.028067 49.26 −0.01723 0.02198 49.28 −0.00693 0.028208 49.3 −0.01445 0.02497 49.32 −0.01273 0.026117 49.34 −0.0127 0.025629 49.36 −0.0153 0.024689 49.38 −0.01589 0.023675 49.4 −0.01875 0.020858 49.42 −0.01703 0.011057 49.44 0.004412 −0.00017 49.46 0.023536 −0.0101 49.48 0.024454 −0.01582 49.5 0.022055 −0.01407 49.52 −0.0057 −0.00737 49.54 −0.01882 0.003667 49.56 −0.01364 −0.00604 49.58 0.007151 −0.01625 49.6 0.021946 −0.01628 49.62 0.025619 −0.01625 49.64 0.019654 −0.01954 49.66 0.010208 −0.02037 49.68 0.004674 −0.01889 49.7 0.002124 −0.01605 49.72 −0.00011 −0.01015 49.74 −0.01932 −0.02079 49.76 0.017115 0.011251 49.78 −0.00469 −0.00183 49.8 0.017431 0.019306 49.82 −0.00238 0.005606 49.84 −0.01526 −0.00096 49.86 0.002226 0.00887 49.88 0.011085 0.016299 49.9 0.010521 0.021228 49.92 0.007874 0.0229 49.94 0.00945 0.013838 49.96 −0.03145 −0.00703 49.98 0.007024 0.018753 50 0.004645 0.017714 50.02 0.011431 0.019803 50.04 −0.01439 0.006472 50.06 0.001172 0.014133 50.08 0.001851 0.01609 50.1 −0.01805 0.002948 50.12 −0.00373 0.013542 50.14 −0.01789 0.000851 50.16 −0.00554 0.008764 50.18 0.000013 0.016631 50.2 −0.03144 0.002388 50.22 0.029176 0.033032 50.24 −0.01696 0.009093 50.26 −0.00889 0.008788 50.28 −0.0154 0.004941 50.3 −0.01451 0.010406 50.32 0.012384 0.028311 50.34 0.00946 0.016445 50.36 −0.01673 0.007465 50.38 0.007768 0.020616 50.4 −0.01403 0.002637 50.42 −0.00432 0.011362 50.44 −0.01018 0.00814 50.46 −0.00592 0.012115 50.48 0.004701 0.014781 50.5 −0.00769 0.012325 50.52 0.005298 0.018254 50.54 0.002143 0.015844 50.56 −0.03664 −0.0044 50.58 −0.00685 0.010435 50.6 −0.00699 0.008005 50.62 0.010048 0.016907 50.64 0.013254 0.02295 50.66 −0.00411 0.012477 50.68 −0.00248 0.012058 50.7 −0.01706 0.005674 50.72 −0.00995 0.009398 50.74 −0.01483 0.007428 50.76 −0.0164 0.007895 50.78 −0.01569 0.005755 50.8 −0.01299 0.005453 50.82 −0.01001 0.011653 50.84 −0.00622 0.010965 50.86 −0.00551 0.01038 50.88 −0.01651 0.001969 50.9 −0.00371 0.016127 50.92 0.02781 0.030841 50.94 −0.01065 0.002449 50.96 0.006754 0.013081 50.98 −0.01017 0.007619 51 −0.00576 0.01317 51.02 0.007567 0.022335 51.04 −0.0156 0.00202 51.06 −0.00471 0.019125 51.08 −0.00202 0.016726 51.1 −0.01655 0.000399 51.12 −0.00762 0.009003 51.14 −0.01667 0.000955 51.16 0.010023 0.023772 51.18 −0.02097 0.004393 51.2 −0.01251 0.011568 51.22 0.002617 0.012486 51.24 −0.01418 0.002274 51.26 0.003053 0.017425 51.28 −0.00342 0.011578 51.3 −0.0278 −0.0034 51.32 −0.00084 0.015552 51.34 −0.00802 0.012612 51.36 −0.01733 0.002053 51.38 −0.01416 0.004557 51.4 0.003046 0.012819 51.42 −0.00764 0.00641 51.44 −0.02448 −0.00335 51.46 −0.01197 0.002316 51.48 −0.01021 0.00523 51.5 −0.00846 0.008167 51.52 −0.00513 0.013113 51.54 −0.00764 0.01022 51.56 0.006052 0.014545 51.58 −0.0097 0.008926 51.6 −0.01032 0.009088 51.62 −0.00241 0.014618 51.64 −0.02353 −0.00409 51.66 0.00722 0.020372 51.68 −0.02445 −0.00095 51.7 −0.00788 0.011126 51.72 0.006479 0.018619 51.74 −0.01075 0.003427 51.76 −0.01709 0.010464 51.78 −0.02358 0.003257 51.8 0.007561 0.012218 51.82 −0.01143 0.005846 51.84 −0.00559 0.008276 51.86 0.013251 0.024178 51.88 −0.00502 0.011092 51.9 −0.00358 0.010006 51.92 0.02377 0.033537 51.94 0.010055 0.017758 51.96 −0.00391 0.01466 51.98 −0.01682 0.009497 52 −0.01871 0.002249 52.02 −0.01746 0.004823 52.04 −0.01142 0.006399 52.06 0.002761 0.015979 52.08 −0.02343 −0.00318 52.1 −0.01608 0.003574 52.12 −0.0234 −0.00022 52.14 0.032778 0.035668 52.16 −0.01234 0.008383 52.18 −0.01433 0.00713 52.2 −0.00558 0.004748 52.22 −0.01747 0.007264 52.24 −0.02432 −0.00089 52.26 −0.01159 0.008182 52.28 −0.01269 0.006128 52.3 −0.00318 0.012141 52.32 −0.00505 0.010688 52.34 −0.00203 0.015547 52.36 −0.00823 0.009187 52.38 −0.01737 0.002183 52.4 −0.00514 0.009227 52.42 −0.01123 0.010472 52.44 0.001186 0.013657 52.46 0.022357 0.029093 52.48 0.005669 0.019434 52.5 −0.01135 0.01059 52.52 −0.00054 0.015579 52.54 0.000848 0.014641 52.56 −0.01346 0.003585 52.58 −0.00391 0.012785 52.6 0.008888 0.019349 52.62 −0.01264 0.012744 52.64 −0.01572 0.006225 52.66 0.002212 0.013996 52.68 −0.02095 −0.00091 52.7 0.005183 0.021024 52.72 0.001405 0.01784 52.74 −0.00252 0.013184 52.76 0.001531 0.010804 52.78 0.007903 0.018188 52.8 0.004367 0.018592 52.82 −0.02449 −0.00444 52.84 0.000401 0.009351 52.86 0.000019 0.014788 52.88 −0.00695 0.008344 52.9 −0.00525 0.007173 52.92 −0.00546 0.012448 52.94 −0.00565 0.012602 52.96 −0.00608 0.013568 52.98 −0.01777 0.002312 53 −0.01852 0.001464 53.02 −0.0134 0.010005 53.04 0.001018 0.017323 53.06 −0.02461 −0.00104 53.08 −0.00682 0.010001 53.1 −0.00666 0.011732 53.12 −0.01156 0.006938 53.14 0.004187 0.021398 53.16 0.009335 0.017758 53.18 0.003733 0.016107 53.2 0.029622 0.035051 53.22 −0.00474 0.013259 53.24 −0.00758 0.010673 53.26 −0.0069 0.012643 53.28 0.002194 0.010663 53.3 −0.01955 0.003221 53.32 0.00358 0.013931 53.34 −0.00207 0.018146 53.36 −0.00966 0.006573 53.38 0.001298 0.017156 53.4 0.001141 0.018317 53.42 0.012091 0.023646 53.44 −0.00307 0.020766 53.46 −0.01806 0.005006 53.48 −0.01732 0.000281 53.5 −0.01541 0.00866 53.52 −0.00924 0.01244 53.54 −0.01172 0.005681 53.56 −0.01337 0.003926 53.58 0.010623 0.019472 53.6 0.013434 0.022051 53.62 −0.01438 0.006877 53.64 −0.01083 0.0105 53.66 −0.00627 0.010974 53.68 −0.01088 0.007914 53.7 −0.0239 −0.00211 53.72 0.001057 0.014162 53.74 −0.03155 −0.00266 53.76 −0.02685 0.003628 53.78 −0.00037 0.012565 53.8 −0.00104 0.013302 53.82 0.001774 0.012315 53.84 −0.00837 0.011441 53.86 −0.00521 0.01142 53.88 −0.01151 0.008644 53.9 −0.00806 0.006974 53.92 −0.02856 −0.00123 53.94 −0.01159 0.013283 53.96 0.023074 0.026879 53.98 −0.01828 0.00208 54 0.000204 0.014779 54.02 0.000817 0.018247 54.04 0.003493 0.007271 54.06 −0.00293 0.011218 54.08 −0.03023 −0.00438 54.1 −0.03485 −0.00545 54.12 −0.01674 0.005935 54.14 −0.00299 0.011614 54.16 0.012301 0.017996 54.18 −0.01075 0.013638 54.2 −0.01079 0.00392 54.22 −0.01233 0.010026 54.24 −0.02803 −0.00564 54.26 −0.01132 0.007022 54.28 −0.00179 0.018903 54.3 0.007307 0.013979 54.32 −0.00595 0.010319 54.34 −0.00151 0.016286 54.36 0.011238 0.02202 54.38 −0.01947 0.00135 54.4 0.019714 0.026418 54.42 0.009804 0.017438 54.44 −0.01479 0.009445 54.46 −0.00863 0.009168 54.48 −0.00476 0.010119 54.5 0.008995 0.012942 54.52 −0.00546 0.010218 54.54 0.003646 0.017891 54.56 −0.00718 0.010324 54.58 −0.00677 0.005796 54.6 0.001873 0.018916 54.62 0.000152 0.016065 54.64 −0.0045 0.013134 54.66 −0.00878 0.007808 54.68 0.007659 0.017328 54.7 −0.01701 0.000503 54.72 −0.01363 0.00476 54.74 −0.00916 0.008855 54.76 −0.02075 0.007276 54.78 −0.02954 −0.00435 54.8 0.003453 0.018674 54.82 −0.02561 −0.00361 54.84 0.014994 0.023479 54.86 −0.00385 0.013687 54.88 −0.00049 0.016617 54.9 −0.01243 0.00606 54.92 0.002099 0.013919 54.94 0.002222 0.019674 54.96 −0.01347 0.010426 54.98 0.00317 0.018061 55 −0.01486 0.006559 55.02 −0.01199 0.006152 55.04 0.014666 0.027241 55.06 −0.01369 0.005795 55.08 −0.01285 0.007124 55.1 −0.00286 0.009877 55.12 −0.01151 0.011551 55.14 −0.00284 0.014665 55.16 0.013514 0.022109 55.18 −0.03482 −0.00642 55.2 0.01774 0.025139 55.22 0.024286 0.022673 55.24 −0.00744 0.014658 55.26 0.014157 0.025673 55.28 −0.02021 0.002805 55.3 −0.00658 0.012756 55.32 0.019806 0.026651 55.34 −0.00815 0.01446 55.36 −0.00067 0.012019 55.38 0.007585 0.013766 55.4 −0.01326 0.006075 55.42 0.00084 0.017181 55.44 −0.0148 0.006066 55.46 0.017537 0.02162 55.48 −0.01021 0.004424 55.5 −0.0026 0.011792 55.52 −0.00854 0.011124 55.54 0.009436 0.02135 55.56 0.008375 0.019105 55.58 −0.00105 0.017586 55.6 −0.00751 0.002759 55.62 −0.02227 0.001275 55.64 −0.00421 0.010469 55.66 −0.01256 0.001857 55.68 −0.02567 0.001199 55.7 −0.00801 0.012858 55.72 0.001404 0.014847 55.74 −0.01188 0.006871 55.76 −0.02249 0.001433 55.78 −0.00585 0.015087 55.8 0.004809 0.017527 55.82 0.008424 0.015698 55.84 0.001025 0.013178 55.86 0.016258 0.029141 55.88 −0.00322 0.007757 55.9 0.001695 0.011242 55.92 −0.01667 0.007813 55.94 −0.00161 0.014753 55.96 0.00487 0.016841 55.98 −0.02316 0.002252 56 −0.01227 0.011933 56.02 −0.01927 0.000355 56.04 −0.00782 0.00534 56.06 −0.02642 0.001454 56.08 −0.02926 −0.00274 56.1 0.016182 0.026238 56.12 0.001547 0.008948 56.14 −0.00247 0.018448 56.16 −0.00577 0.012792 56.18 0.007666 0.016559 56.2 −0.01768 0.000081 56.22 0.02607 0.027765 56.24 −0.01994 −0.00064 56.26 −0.02028 −0.00071 56.28 −0.01175 0.005902 56.3 −0.0177 −0.00047 56.32 0.000105 0.018918 56.34 −0.01108 0.004796 56.36 0.01239 0.020419 56.38 −0.00178 0.016282 56.4 −0.02037 −0.00018 56.42 −0.00617 0.013032 56.44 0.001508 0.010484 56.46 0.005485 0.021255 56.48 −0.01969 0.003708 56.5 0.01451 0.022468 56.52 −0.00715 0.012339 56.54 −0.0198 0.002698 56.56 −0.00975 0.00609 56.58 −0.00161 0.015159 56.6 −0.01293 0.007001 56.62 −0.00459 0.018622 56.64 −0.00368 0.009692 56.66 0.006202 0.022588 56.68 −0.00525 0.012778 56.7 0.001127 0.012502 56.72 −0.0178 0.001509 56.74 −0.00398 0.010813 56.76 −0.01716 −0.00188 56.78 −0.0173 0.000665 56.8 0.021072 0.030182 56.82 0.002588 0.01949 56.84 0.028983 0.028357 56.86 0.000815 0.01186 56.88 −0.02591 −0.00644 56.9 −0.02517 −0.00581 56.92 0.004737 0.010105 56.94 −0.02252 0.006588 56.96 −0.01112 0.009023 56.98 −0.01684 0.003252 57 −0.00513 0.01135 57.02 −0.00071 0.013518 57.04 −0.00336 0.011266 57.06 −0.00112 0.015422 57.08 0.011147 0.020068 57.1 −0.01719 0.002539 57.12 −0.00236 0.016493 57.14 −0.01339 0.001777 57.16 0.00778 0.023381 57.18 −0.0203 0.002338 57.2 0.006039 0.023239 57.22 −0.00682 0.004428 57.24 −0.0158 0.001827 57.26 −0.00027 0.015143 57.28 −0.01589 0.004606 57.3 −0.02018 0.00309 57.32 0.003732 0.021729 57.34 −0.02996 −0.00786 57.36 0.003568 0.017192 57.38 0.003356 0.020694 57.4 −0.00038 0.014278 57.42 −0.00924 0.01373 57.44 0.008611 0.018892 57.46 −0.01012 0.008998 57.48 0.007918 0.01715 57.5 −0.02845 −0.00391 57.52 0.008798 0.016611 57.54 0.01308 0.022936 57.56 −0.01145 0.006765 57.58 −0.01408 0.004513 57.6 −0.00541 0.006217 57.62 −0.02102 0.004628 57.64 0.000786 0.011979 57.66 −0.00869 0.009385 57.68 0.008017 0.020162 57.7 0.00707 0.01632 57.72 0.008439 0.01603 57.74 −0.00049 0.01388 57.76 0.011103 0.024202 57.78 0.009191 0.018907 57.8 −0.01525 0.006855 57.82 0.006254 0.017726 57.84 −0.01739 −0.00024 57.86 −0.01221 0.007211 57.88 −0.01574 0.00489 57.9 −0.00829 0.007912 57.92 −0.00049 0.014045 57.94 −0.00176 0.014112 57.96 0.02715 0.026343 57.98 −0.01938 0.002146 58 0.027895 0.030962 58.02 0.002267 0.014469 58.04 −0.01237 0.010801 58.06 −0.00357 0.015143 58.08 −0.01001 0.003588 58.1 −0.0145 0.010505 58.12 −0.01971 0.000688 58.14 −0.0105 0.006341 58.16 −0.01117 0.008954 58.18 0.010102 0.014395 58.2 −0.02039 0.000224 58.22 −0.00347 0.015892 58.24 0.000691 0.016265 58.26 0.006383 0.020602 58.28 0.004654 0.0204 58.3 −0.00739 0.007334 58.32 0.000567 0.015619 58.34 −0.01826 0.00657 58.36 −0.01189 0.007979 58.38 0.024394 0.032529 58.4 0.013846 0.02559 58.42 0.000922 0.017065 58.44 0.005923 0.019814 58.46 0.00373 0.019715 58.48 0.002423 0.014282 58.5 −0.01297 0.003926 58.52 −0.01548 0.004026 58.54 0.011186 0.021228 58.56 0.024078 0.033072 58.58 −0.00263 0.017567 58.6 −0.0056 0.007133 58.62 0.004654 0.014806 58.64 −0.01142 0.006637 58.66 −0.00659 0.013005 58.68 −0.02472 −3.1E−05 58.7 −0.0094 0.001894 58.72 −0.02602 −0.00093 58.74 0.003168 0.020166 58.76 0.003598 0.01683 58.78 −0.0003 0.016168 58.8 −0.01104 0.00316 58.82 −0.02356 −0.00054 58.84 0.009979 0.021628 58.86 −0.00324 0.018895 58.88 0.001801 0.01898 58.9 −0.0004 0.026087 58.92 0.003251 0.024932 58.94 −0.02366 0.008968 58.96 −0.00157 0.024025 58.98 −0.00883 0.021501 59 −0.01804 0.019064 59.02 −0.01512 0.021411 59.04 −0.01312 0.023857 59.06 −0.01656 0.019808 59.08 −0.01199 0.020058 59.1 −0.01453 0.006979 59.12 0.000565 −0.00587 59.14 0.015913 −0.01057 59.16 0.015962 −0.01565 59.18 0.021858 −0.01082 59.2 −0.00275 −0.01514 59.22 −0.00415 0.009809 59.24 −0.01517 0.011037 59.26 −0.01734 0.006079 59.28 0.003083 0.003451 59.3 0.01737 −0.00397 59.32 0.023493 −0.00589 59.34 0.010561 −0.00831 59.36 0.008795 0.003546 59.38 −0.01092 0.009695 59.4 −0.01061 0.019574 59.42 −0.00963 0.023933 59.44 −0.01101 0.023725 59.46 −0.01546 0.023662 59.48 −0.01362 0.025266 59.5 −0.01206 0.026721 59.52 −0.01062 0.027278 59.54 −0.01805 0.02302 59.56 −0.0212 0.018922 59.58 −0.01599 0.01386 59.6 −0.00608 −0.00305 59.62 0.012343 −0.01618 59.64 0.018483 −0.01954 59.66 0.017454 −0.01932 59.68 0.007503 −0.01491 59.7 −0.01571 −0.0014 59.72 −0.02045 0.015092 59.74 −0.02608 0.009426 59.76 0.000069 0.002626 59.78 0.006765 −0.01802 59.8 0.021973 −0.0173 59.82 0.013796 −0.0244 59.84 0.01441 −0.02155 59.86 0.01095 −0.01754 59.88 0.000274 −0.02117 59.9 0.00884 −0.01179 59.92 −0.00375 −0.01504 59.94 −0.01546 −0.01464 59.96 −0.0123 −0.01728 59.98 0.000019 0.002719 60 0.0169 0.012863 60.02 −0.02586 −0.01045 60.04 0.002003 0.006494 60.06 0.00626 0.009675 60.08 0.003681 0.012213 60.1 0.003586 0.01766 60.12 −0.01618 0.001184 60.14 −0.00028 0.008218 60.16 0.022239 0.033722 60.18 0.014763 0.018566 60.2 −0.01156 0.010403 60.22 −0.01777 −0.00162 60.24 0.008616 0.015016 60.26 −0.00422 0.01066 60.28 −0.00974 0.007239 60.3 −0.00728 0.013121 60.32 −0.01157 0.009975 60.34 0.00634 0.015139 60.36 −0.01087 0.003203 60.38 −0.00844 0.010978 60.4 0.002304 0.019422 60.42 −0.007 0.010567 60.44 −0.02109 0.002851 60.46 −0.00177 0.016491 60.48 −0.00751 0.010778 60.5 −0.00495 0.008166 60.52 0.000573 0.016355 60.54 −0.00844 0.00577 60.56 −0.00105 0.015468 60.58 −0.03367 −0.00827 60.6 −0.02833 0.000896 60.62 −0.03015 −0.00327 60.64 0.006151 0.020829 60.66 −0.01727 0.009789 60.68 −0.01392 0.005714 60.7 −0.00734 0.012921 60.72 −0.02074 0.002866 60.74 0.001811 0.012879 60.76 −0.02273 0.004544 60.78 −0.00438 0.013377 60.8 −0.02833 −0.00476 60.82 −0.01201 0.004231 60.84 −0.01601 0.005426 60.86 0.025466 0.032875 60.88 −0.00567 0.01152 60.9 −0.00932 0.004512 60.92 0.013744 0.021137 60.94 −0.00305 0.014791 60.96 −0.00588 0.017786 60.98 −0.01598 0.008431 61 0.010935 0.02127 61.02 0.002248 0.013452 61.04 0.008326 0.019159 61.06 0.014493 0.023346 61.08 −0.00927 0.010404 61.1 −0.00186 0.013974 61.12 −0.01615 0.003998 61.14 −0.01428 0.006595 61.16 −0.00643 0.012442 61.18 −0.01323 0.002553 61.2 −0.00565 0.008747 61.22 −0.01996 0.00121 61.24 0.014123 0.024712 61.26 0.001266 0.01223 61.28 −0.00318 0.01554 61.3 −0.00329 0.017508 61.32 −0.01501 0.004136 61.34 −0.00886 0.009186 61.36 −0.00854 0.011395 61.38 0.002415 0.016395 61.4 0.007198 0.013189 61.42 −0.00363 0.011491 61.44 0.011445 0.025148 61.46 −0.00277 0.013991 61.48 −0.01627 −0.00154 61.5 −0.00705 0.00283 61.52 −0.00215 0.01261 61.54 −0.00645 0.010743 61.56 0.003449 0.015448 61.58 −0.00316 0.011099 61.6 0.004842 0.017444 61.62 0.004949 0.018385 61.64 −0.02389 −0.00012 61.66 −0.00148 0.008217 61.68 0.012354 0.019851 61.7 −0.0015 0.011262 61.72 −0.03246 −0.00203 61.74 0.008914 0.017853 61.76 −0.01233 0.007282 61.78 −0.01144 0.007804 61.8 −0.0147 0.006057 61.82 0.005209 0.021859 61.84 0.013914 0.02448 61.86 −0.00764 0.007253 61.88 0.021901 0.027662 61.9 −0.00027 0.014089 61.92 −0.03702 −0.00628 61.94 −0.00154 0.014545 61.96 −0.01101 0.0089 61.98 0.002174 0.013508 62 0.00207 0.013963 62.02 0.02564 0.031638 62.04 0.01032 0.018291 62.06 −0.02039 0.001017 62.08 −0.00677 0.007626 62.1 −0.01373 0.005504 62.12 0.000282 0.015833 62.14 −0.01663 0.001696 62.16 −0.00499 0.015741 62.18 0.025716 0.028582 62.2 −0.00803 0.012763 62.22 −0.01521 0.007406 62.24 −0.02358 0.001717 62.26 −0.02858 −0.00096 62.28 0.012188 0.022437 62.3 −0.00086 0.012238 62.32 0.009732 0.019586 62.34 −0.00421 0.013949 62.36 0.001907 0.019421 62.38 −0.00721 0.012831 62.4 −0.02235 0.001753 62.42 −0.00828 0.011083 62.44 0.020621 0.027042 62.46 0.004834 0.020279 62.48 −0.00832 0.01155 62.5 −0.00778 0.007385 62.52 0.030767 0.028864 62.54 −0.01651 0.001941 62.56 0.000314 0.014558 62.58 −0.00894 0.011278 62.6 −0.02905 −0.00652 62.62 −0.01559 0.001637 62.64 −0.00923 0.010789 62.66 −0.00701 0.010623 62.68 0.034636 0.030672 62.7 −0.01594 0.002488 62.72 0.010807 0.021564 62.74 0.0062 0.014238 62.76 0.004319 0.014395 62.78 −0.02453 −0.0012 62.8 0.004087 0.017609 62.82 0.002593 0.012223 62.84 0.006462 0.025534 62.86 0.019587 0.025675 62.88 −0.00428 0.004919 62.9 −0.00689 0.003587 62.92 0.020156 0.023848 62.94 −0.01012 0.010305 62.96 −0.01883 −0.00443 62.98 0.006674 0.015884 63 −0.02079 0.006183 63.02 −0.0128 0.003578 63.04 −0.00031 0.015328 63.06 −0.01922 0.004119 63.08 −0.00204 0.013878 63.1 0.000992 0.014996 63.12 0.030637 0.029326 63.14 −0.00061 0.015297 63.16 −0.00379 0.015885 63.18 −0.00725 0.005162 63.2 −0.01624 0.006375 63.22 −0.00103 0.018569 63.24 0.005798 0.020726 63.26 0.003658 0.015261 63.28 0.003847 0.017328 63.3 −0.021 −0.00373 63.32 0.003128 0.015608 63.34 −0.00148 0.012731 63.36 −0.01122 0.007242 63.38 −0.00654 0.008314 63.4 −0.00461 0.01125 63.42 0.000193 0.01638 63.44 −0.01314 0.002084 63.46 −0.01282 0.012267 63.48 0.015168 0.027305 63.5 −0.02366 0.003161 63.52 −0.01414 0.006139 63.54 −0.01012 0.00575 63.56 −0.0136 0.006203 63.58 0.000007 0.010688 63.6 0.019995 0.027301 63.62 −0.00451 0.013964 63.64 −0.00956 0.010486 63.66 −0.02425 0.001904 63.68 −0.01339 0.005909 63.7 −0.01386 0.001977 63.72 0.011416 0.026609 63.74 −0.00844 0.007653 63.76 −0.00468 0.008722 63.78 −0.01396 0.006371 63.8 0.006471 0.016748 63.82 −0.01453 −0.00153 63.84 0.015301 0.021849 63.86 −0.01951 0.001212 63.88 −0.00407 0.012369 63.9 0.006023 0.016845 63.92 −0.00345 0.009416 63.94 0.007054 0.020912 63.96 −0.0082 0.003415 63.98 −0.02431 −0.00364 64 −0.01781 0.00536 64.02 −0.03023 −0.00701 64.04 −0.01368 0.005304 64.06 −0.00459 0.014432 64.08 0.0039 0.018818 64.1 −0.00216 0.012226 64.12 −0.00216 0.014183 64.14 −0.01336 0.009749 64.16 −0.03045 −0.01094 64.18 −0.01973 0.003458 64.2 −0.01586 0.005682 64.22 −0.00346 0.01247 64.24 −0.00476 0.010972 64.26 0.015917 0.022256 64.28 0.002906 0.015343 64.3 0.005067 0.017523 64.32 0.003986 0.019308 64.34 −0.02232 −0.00407 64.36 −0.01404 0.007916 64.38 0.001525 0.015904 64.4 −0.00626 0.003569 64.42 −1.2E−05 0.012571 64.44 0.000781 0.008328 64.46 0.016502 0.023736 64.48 −0.00977 0.005516 64.5 0.010132 0.022211 64.52 −0.0164 0.002803 64.54 0.012748 0.027626 64.56 −0.0074 0.01236 64.58 −0.00231 0.016093 64.6 0.021028 0.031251 64.62 −0.03053 −0.01124 64.64 −0.01197 0.004527 64.66 −0.02668 −0.00636 89.52 0.006655 0.015242 89.54 −0.0019 0.010947 89.56 −0.02067 0.001522 89.58 −0.01371 0.00795 89.6 −0.03057 −0.0022 89.62 0.01032 0.018621 89.64 −0.02588 0.000776 89.66 −0.00164 0.013302 89.68 0.005274 0.02168 89.7 −0.00254 0.009249 89.72 −0.01147 0.010923 89.74 0.012789 0.022655 89.76 0.014879 0.017936 89.78 −0.0072 0.009961 89.8 0.00814 0.02357 89.82 −0.00707 0.006861 89.84 −0.00661 0.012538 89.86 0.001584 0.017567 89.88 −0.00699 0.011558 89.9 −0.01167 0.006483 89.92 0.023649 0.026408 89.94 −0.01065 0.003718 89.96 −0.00437 0.011189 89.98 −0.00617 0.007667 90 −0.02426 −0.00405 90.02 −7E−06 0.010775 90.04 −0.01148 0.006576 90.06 0.005918 0.014726 90.08 −0.00431 0.00769 90.1 −0.02011 −0.00036 90.12 −0.00448 0.011677 90.14 −0.0104 0.005563 90.16 0.020222 0.023218 90.18 −0.00443 0.00521 90.2 0.011742 0.019435 90.22 −0.00238 0.016925 90.24 −0.00433 0.015195 90.26 −0.00734 0.0131 90.28 −0.02347 −0.00121 90.3 −0.0017 0.010209 90.32 −0.00446 0.006142 90.34 −0.01142 0.011989 90.36 0.002501 0.017676 90.38 −0.02856 −0.00186 90.4 −0.00632 0.007122 90.42 −0.00759 0.007806 90.44 −0.00036 0.013945 90.46 −0.03349 −0.00595 90.48 −0.00656 0.011259 90.5 −0.02447 −0.00076 90.52 0.010318 0.020981 90.54 −0.01001 0.010745 90.56 0.010035 0.025269 90.58 0.007286 0.015892 90.6 −0.00807 0.009989 90.62 0.008209 0.018393 90.64 −0.00978 0.004064 90.66 −0.00567 0.015367 90.68 −0.00814 0.013789 90.7 −0.00991 0.009934 90.72 −0.01475 0.001774 90.74 −0.01172 0.016758 90.76 −0.00877 0.006296 90.78 0.007077 0.021212 90.8 −0.00283 0.010971 90.82 −0.00243 0.015305 90.84 0.00041 0.019241 90.86 0.004265 0.016742 90.88 −0.00747 0.007768 90.9 −0.00321 0.013472 90.92 0.016085 0.027818 90.94 −0.02508 −0.00086 90.96 −0.00377 0.013107 90.98 −0.0208 0.005208 91 0.037425 0.035216 91.02 −0.00155 0.012794 91.04 −0.00261 0.013818 91.06 0.001771 0.013968 91.08 −0.0096 0.005273 91.1 −0.00865 0.008971 91.12 0.004783 0.017934 91.14 −0.00908 0.01095 91.16 0.014322 0.023846 91.18 −0.00733 0.008356 91.2 0.018566 0.028553 91.22 −0.00252 0.014053 91.24 −0.00188 0.016565 91.26 0.004981 0.017588 91.28 −0.00501 0.009944 91.3 −0.01001 0.008749 91.32 −0.00037 0.017141 91.34 −0.01181 0.005604 91.36 −0.0218 −0.00031 91.38 −0.0119 0.005317 91.4 0.005446 0.02133 91.42 −0.01182 0.007892 91.44 −0.016 0.005633 91.46 −0.00144 0.016674 91.48 −0.00834 0.00876 91.5 0.001963 0.011171 91.52 −0.01012 0.013185 91.54 0.016591 0.025673 91.56 −0.00033 0.018007 91.58 0.008808 0.018747 91.6 −0.00108 0.017486 91.62 −0.00371 0.018634 91.64 −0.00855 0.01203 91.66 −0.00836 0.005923 91.68 −0.0106 0.005394 91.7 −0.0023 0.01442 91.72 0.002803 0.016435 91.74 −0.00626 0.013165 91.76 −0.01155 0.009757 91.78 −0.01391 0.007977 91.8 0.000091 0.013402 91.82 −0.00504 0.015388 91.84 −0.01583 0.003168 91.86 0.005365 0.014744 91.88 −0.02528 −0.00497 91.9 0.006403 0.016455 91.92 −0.01059 0.008905 91.94 −0.01645 0.005791 91.96 −0.00824 0.014027 91.98 0.007091 0.022271 92 −0.0056 0.009453 92.02 0.002611 0.00924 92.04 −0.00458 0.016519 92.06 −0.01167 0.005253 92.08 0.002284 0.008293 92.1 −0.03021 −0.00493 92.12 0.002725 0.013863 92.14 −0.01464 0.002114 92.16 −0.02234 −0.00236 92.18 −0.00393 0.007137 92.2 −0.00976 0.005943 92.22 −0.00158 0.010607 92.24 −0.01497 0.007923 92.26 0.003957 0.013401 92.28 −0.00878 0.005291 92.3 −0.00649 0.012994 92.32 −0.02434 −0.00506 92.34 −0.00655 0.006006 92.36 −0.00718 0.012062 92.38 −0.01509 0.0045 92.4 0.009706 0.017495 92.42 0.014932 0.024001 92.44 0.001383 0.011733 92.46 −0.00754 0.00814 92.48 0.03364 0.026474 92.5 −0.00431 0.010538 92.52 0.004286 0.01299 92.54 −0.00799 0.009992 92.56 0.012932 0.022878 92.58 −0.0148 0.004956 92.6 −0.01048 0.006947 92.62 −0.0194 −0.00283 92.64 −0.00408 0.010232 92.66 −0.01524 0.00535 92.68 0.002246 0.013341 92.7 0.0038 0.019411 92.72 −0.00469 0.014537 92.74 0.016175 0.016743 92.76 0.005706 0.019522 92.78 0.00874 0.019941 92.8 −0.0342 −0.0099 92.82 0.006438 0.013341 92.84 0.013342 0.02232 92.86 −0.00665 0.013501 92.88 −0.01185 0.010405 92.9 0.001541 0.012047 92.92 −0.01275 0.006972 92.94 0.010173 0.015722 92.96 −0.01044 0.00751 92.98 −0.01159 0.013476 93 −0.00977 0.003812 93.02 −0.02728 0.000927 93.04 0.017043 0.02111 93.06 −0.01648 0.002594 93.08 −0.02611 −0.00059 93.1 −0.01872 0.004065 93.12 0.009653 0.021291 93.14 −0.00602 0.012844 93.16 −0.0093 0.014221 93.18 0.009397 0.02152 93.2 −0.02351 0.003003 93.22 −0.01243 0.005577 93.24 0.001363 0.013466 93.26 −0.01968 −0.00299 93.28 −0.03013 −0.0023 93.3 0.002845 0.011472 93.32 0.018995 0.020201 93.34 0.010549 0.022875 93.36 0.004251 0.014681 93.38 −0.01883 −0.00528 93.4 0.001557 0.011899 93.42 0.020871 0.026288 93.44 −0.00405 0.010946 93.46 −0.00819 0.012089 93.48 −0.00903 0.010638 93.5 −0.00957 0.010535 93.52 0.003931 0.015278 93.54 −0.00958 0.010639 93.56 −0.01013 0.010695 93.58 −0.00406 0.015074 93.6 0.001499 0.01712 93.62 −0.01132 0.002472 93.64 −0.03153 −0.00171 93.66 −0.03303 −0.01212 93.68 0.000159 0.016635 93.7 −0.00087 0.013649 93.72 −0.00334 0.011179 93.74 −0.0135 0.00358 93.76 −0.00653 0.012206 93.78 −0.01347 0.001919 93.8 −0.02147 0.002208 93.82 0.000788 0.014145 93.84 0.009397 0.017396 93.86 −0.00201 0.009651 93.88 0.002365 0.016807 93.9 0.011285 0.01862 93.92 0.000441 0.01608 93.94 −0.01294 0.005954 93.96 −8.7E−05 0.011549 93.98 −0.01413 0.007593 94 −0.00143 0.01382 94.02 −0.00066 0.013175 94.04 0.00817 0.021327 94.06 −0.01758 0.005248 94.08 −0.0027 0.008285 94.1 −0.00602 0.011342 94.12 −0.00514 0.010048 94.14 −0.00397 0.006079 94.16 0.008634 0.019766 94.18 0.003734 0.0138 94.2 −0.01603 0.000736 94.22 −0.00472 0.011402 94.24 −0.00878 0.013639 94.26 −0.01888 0.001362 94.28 0.003616 0.01581 94.3 −0.01929 −0.0001 94.32 0.014444 0.014736 94.34 0.003362 0.021684 94.36 0.01309 0.018782 94.38 −0.01333 0.007945 94.4 0.009827 0.016593 94.42 0.000857 0.017108 94.44 −0.0064 0.00536 94.46 −0.00486 0.009009 94.48 −0.00751 0.010624 94.5 −0.01899 0.002567 94.52 0.019313 0.034425 94.54 0.008119 0.021532 94.56 −0.03181 −0.00192 94.58 −0.02795 0.000512 94.6 −0.00403 0.014726 94.62 0.012935 0.028182 94.64 −0.00588 0.012211 94.66 −0.00043 0.020238 94.68 −0.01189 0.012787 94.7 −0.0147 0.013795 94.72 −0.02648 0.008367 94.74 −0.01899 0.015768 94.76 −0.01859 0.017224 94.78 −0.01831 0.019365 94.8 −0.032 0.00861 94.82 −0.01597 0.020651 94.84 −0.0217 0.01289 94.86 −0.03039 −0.0007 94.88 −0.0076 0.005931 94.9 0.017245 −0.00113 94.92 0.026285 −0.00905 94.94 0.0145 −0.01988 94.96 0.0222 −0.01453 94.98 0.01716 −0.01174 95 −0.00508 −0.01172 95.02 0.002951 0.002351 95.04 −0.01787 −0.00522 95.06 −0.01439 0.00858 95.08 −0.01065 0.012479 95.1 −0.00713 0.021446 95.12 −0.02316 0.013925 95.14 −0.02625 0.015742 95.16 −0.02713 0.014925 95.18 −0.03333 0.006785 95.2 −0.0137 0.017007 95.22 −0.00692 0.011962 95.24 −0.01582 0.008026 95.26 −0.0235 0.001787 95.28 −0.01053 0.00372 95.3 0.00483 −4.5E−05 95.32 0.010134 −0.00925 95.34 0.020663 −0.01364 95.36 0.022731 −0.01354 95.38 0.011812 −0.01582 95.4 −0.00262 −0.01596 95.42 −0.00153 −0.01031 95.44 −0.00295 −0.00737 95.46 −0.00725 0.005015 95.48 −0.00732 0.005041 95.5 −0.02051 0.00303 95.52 −0.02776 0.007259 95.54 −0.01598 0.017559 95.56 −0.02931 0.011751 95.58 −0.0169 0.017071 95.6 −0.01135 0.013272 95.62 0.008339 0.011926 95.64 0.014559 −0.00544 95.66 0.010931 −0.01359 95.68 0.025076 −0.00446 95.7 0.010887 −0.00705 95.72 0.000276 −0.00981 95.74 −0.00591 −0.00504 95.76 −0.01359 −0.00745 95.78 −0.00375 0.004032 95.8 0.020589 0.021199 95.82 0.001056 0.009056 95.84 −0.01457 −0.00118 95.86 −0.01092 0.002145 95.88 0.041194 0.029969 95.9 −0.00246 0.012876 95.92 0.023196 0.029119 95.94 −0.00226 0.014568 95.96 −0.01742 0.002935 95.98 −0.00261 0.016495 96 0.010967 0.02195 96.02 −0.01425 0.004313 96.04 0.003763 0.017739 96.06 −0.00756 0.007731 96.08 0.004358 0.01798 96.1 −0.03493 −0.00621 96.12 0.01099 0.017964 96.14 0.004917 0.016056 96.16 −0.00975 0.008076 96.18 −0.01499 0.00945 96.2 −0.00982 0.009573 96.22 −0.0023 0.013396 96.24 0.005115 0.021117 96.26 −0.01047 0.008427 96.28 −0.0097 0.002165 96.3 −0.0105 0.005453 96.32 −0.02268 0.001266 96.34 −0.01802 0.005726 96.36 0.000488 0.015398 96.38 0.014841 0.021034 96.4 −0.03167 −0.00713 96.42 −0.01662 −0.00119 96.44 −0.00136 0.01427 96.46 −0.00838 0.012509 96.48 −0.02336 −0.00082 96.5 0.022216 0.027028 96.52 −0.00397 0.013703 96.54 −0.00997 0.005578 96.56 −0.00457 0.010438 96.58 0.018634 0.021874 96.6 0.03265 0.034483 96.62 0.002709 0.01983 96.64 −0.02497 −0.00287 96.66 −0.01527 0.000748 96.68 −0.00809 0.011409 96.7 −0.01255 0.010797 96.72 −8.8E−05 0.018356 96.74 0.002456 0.007942 96.76 0.018321 0.024654 96.78 −0.00737 0.003998 96.8 0.011062 0.01954 96.82 −0.00984 0.014959 96.84 −0.00144 0.01588 96.86 0.006184 0.018104 96.88 0.006517 0.016941 96.9 −0.02209 0.006125 96.92 −0.00848 0.006556 96.94 0.009841 0.028004 96.96 0.010933 0.017222 96.98 −0.0009 0.016624 97 −0.01845 0.004593 97.02 −0.02132 −0.0041 97.04 −0.00024 0.014172 97.06 −0.00608 0.006352 97.08 −0.00465 0.011451 97.1 0.020227 0.024024 97.12 0.008369 0.0187 97.14 −0.02794 −0.00043 97.16 −0.0202 −0.00154 97.18 0.022306 0.028938 97.2 −0.00398 0.009137 97.22 −0.00222 0.011986 97.24 −0.00632 0.00794 97.26 0.014781 0.024531 97.28 −0.01371 0.00717 97.3 0.000306 0.015452 97.32 0.002514 0.016285 97.34 −0.00643 0.013339 97.36 0.008754 0.015845 97.38 −0.01948 0.002572 97.4 −0.00784 0.004465 97.42 0.026494 0.030718 97.44 0.020896 0.030357 97.46 0.002699 0.015392 97.48 −0.0204 0.003685 97.5 0.004597 0.010975 97.52 −0.00133 0.013252 97.54 −0.02556 −0.00515 97.56 0.005127 0.017028 97.58 −0.02744 −0.00038 97.6 −0.01024 0.005713 97.62 −0.00321 0.012341 97.64 0.002554 0.019916 97.66 0.00091 0.013798 97.68 −0.01281 0.007732 97.7 −0.02171 0.00281 97.72 −0.00531 0.015187 97.74 0.022015 0.020397 97.76 −0.03186 −0.00105 97.78 0.001821 0.018245 97.8 0.008969 0.021012 97.82 −0.00593 0.010264 97.84 0.000766 0.015041 97.86 −0.01006 0.005704 97.88 −0.01707 −0.0002 97.9 −0.00737 0.001703 97.92 −0.01126 0.011801 97.94 0.011739 0.021738 97.96 0.02248 0.024454 97.98 −0.00437 0.014903 98 −0.02344 −0.00077 98.02 −0.0236 0.001717 98.04 0.002901 0.013718 98.06 −0.01196 0.00793 98.08 0.004469 0.017296 98.1 −0.01177 0.0069 98.12 0.000196 0.01108 98.14 −0.02324 0.001754 98.16 −0.00746 0.013496 98.18 −0.00919 0.005154 98.2 −0.03344 −0.00703 98.22 −0.00339 0.009853 98.24 −0.02052 −0.0021 98.26 −0.03006 −0.00746 98.28 0.00164 0.012673 98.3 0.014273 0.020776 98.32 0.006998 0.016568 98.34 0.003262 0.017708 98.36 −0.00383 0.013683 98.38 0.002925 0.017607 98.4 −0.00118 0.016687 98.42 −0.00222 0.013767 98.44 −0.02168 0.006042 98.46 −0.00231 0.021138 98.48 −0.00923 0.008992 98.5 0.000614 0.011492 98.52 0.010107 0.026301 98.54 0.00421 0.016297 98.56 −0.01181 0.005763 98.58 −0.00916 0.010457 98.6 0.015388 0.022566 98.62 −0.00934 0.008565 98.64 0.001192 0.01252 98.66 0.000053 0.015886 98.68 −0.02442 −0.00271 98.7 −0.03062 −0.00825 98.72 0.007347 0.022286 98.74 −0.00738 0.010671 98.76 −0.00501 0.01438 98.78 0.012455 0.022171 98.8 −0.0312 −0.00595 98.82 −0.01639 0.008919 98.84 −0.01257 0.007097 98.86 −0.00595 0.008072 98.88 −0.00597 0.008454 98.9 0.007109 0.01434 98.92 0.00929 0.016896 98.94 0.007131 0.015473 98.96 0.011004 0.015958 98.98 −0.01444 0.004022 99 0.010033 0.02323 99.02 0.004684 0.019776 99.04 −0.01486 0.004631 99.06 −0.00768 0.00999 99.08 −0.02031 0.009953 99.1 −0.00162 0.010631 99.12 −0.0386 −0.00557 99.14 −0.01507 0.005062 99.16 −0.00175 0.012583 99.18 −0.02435 −0.00527 99.2 −0.00527 0.009045 99.22 0.007757 0.015674 99.24 0.006267 0.020987 99.26 −0.00152 0.007254 99.28 −0.00143 0.010325 99.3 0.000817 0.018159 99.32 −0.01391 0.004613 99.34 0.003704 0.015594 99.36 0.01366 0.020613 99.38 0.029762 0.030156 99.4 0.008411 0.020473 99.42 −0.00893 0.008739 99.44 −0.00248 0.007544 99.46 −0.01309 0.004822 99.48 0.014431 0.020727 99.5 −0.00117 0.01058 99.52 −0.03031 0.00101 99.54 −0.00732 0.010904 99.56 −0.01143 0.002656 99.58 0.006772 0.018867 99.6 0.010089 0.023518 99.62 −0.01458 0.011218 99.64 0.006115 0.014539 99.66 −0.01602 0.007622 99.68 0.010039 0.017619 99.7 −0.00936 0.012649 99.72 −0.00741 0.006961 99.74 −0.01896 0.006195 99.76 0.00114 0.013893 99.78 −0.00037 0.01289 99.8 0.005217 0.015818 99.82 −0.00179 0.015437 99.84 −0.02013 −0.00224 99.86 −0.00088 0.016458 99.88 −0.00454 0.009234 99.9 −0.02808 −0.00418 99.92 −0.01925 0.001305 99.94 0.010311 0.017051 99.96 0.007433 0.022128 99.98 −0.01056 0.01018 100 −0.01744 −0.00014 100.02 −0.00825 0.00988 100.04 −0.01019 0.005338 100.06 −0.00381 0.010007 100.08 −0.02345 −0.0068 100.1 −0.00909 0.001209 100.12 0.006211 0.017113 100.14 0.004318 0.023212 100.16 −0.00193 0.021418 100.18 −0.01934 0.005104 100.2 −0.00788 0.013122 100.22 −0.01541 0.002889 100.24 −0.01637 0.011143 100.26 −0.01762 0.011124 100.28 −0.00891 0.018841 100.3 −0.01413 0.01281 100.32 −0.01579 0.01492 100.34 −0.02201 0.014733 100.36 −0.02077 0.014601 100.38 −0.01568 0.01562 100.4 −0.03081 0.012078 100.42 −0.02337 0.016766 100.44 −0.02411 0.015681 100.46 −0.03084 0.008382 100.48 −0.02927 0.006706 100.5 −0.01335 0.004202 100.52 −0.01337 −0.01113 100.54 0.00845 −0.011 100.56 0.020217 −0.01445 100.58 0.021811 −0.01344 100.6 0.009572 −0.01855 100.62 0.00829 −0.01411 100.64 0.004338 −0.00956 100.66 0.006413 0.006565 100.68 −0.00806 −0.00156 100.7 −0.01107 −5.4E−05 100.72 −0.01101 0.005605 100.74 −0.00956 0.017976 100.76 −0.02108 0.012889 100.78 −0.01394 0.021431 100.8 −0.0345 0.00599 100.82 −0.02887 0.008155 100.84 −0.0225 0.00445 100.86 0.003469 0.006826 100.88 −0.00075 −0.0099 100.9 0.016538 −0.00915 100.92 0.013925 −0.01513 100.94 0.0208 −0.01078 100.96 0.006313 −0.0148 100.98 0.022736 0.002303 101 0.018185 0.009012 101.02 −0.00369 −0.0035 101.04 −0.00557 0.003374 101.06 0.002134 0.003779 101.08 0.013142 0.011529 101.1 −0.00095 0.005538 101.12 −0.01496 −0.00043 101.14 −0.02177 −0.00263 101.16 0.010296 0.016799 101.18 −0.02214 −0.00823 101.2 −0.00109 0.013985 101.22 −0.01383 0.004048 101.24 −0.00574 0.012326 101.26 −0.01744 0.004786 101.28 −0.00199 0.012136 101.3 −0.02616 −0.00055 101.32 −0.00112 0.014359 101.34 −0.00844 0.007451 101.36 −0.00182 0.006139 101.38 0.007273 0.01573 101.4 0.00279 0.009523 101.42 0.01701 0.025821 101.44 −0.00091 0.015598 101.46 0.0084 0.021568 101.48 0.009606 0.020732 101.5 −0.01853 0.001749 101.52 0.00385 0.0194 101.54 −0.0189 0.002082 101.56 −0.01289 0.004995 101.58 −0.0004 0.010492 101.6 0.008676 0.016839 101.62 0.007057 0.019061 101.64 −0.00287 0.010566 101.66 −0.01312 0.002488 101.68 −0.02369 −0.00073 101.7 0.005753 0.01568 101.72 −0.03254 −0.00466 101.74 0.001242 0.014457 101.76 −0.00255 0.013074 101.78 0.000222 0.017784 101.8 0.014923 0.025401 101.82 −0.00914 0.01277 101.84 −0.00271 0.007155 101.86 0.000434 0.018112 101.88 −0.01803 −0.00078 101.9 −0.01303 0.002261 101.92 −0.0082 0.01252 101.94 −0.01191 0.011698 101.96 −0.0139 0.007765 101.98 0.000233 0.013011 102 −0.02164 0.001753 102.02 −0.01144 0.010082 102.04 0.024934 0.033074 102.06 0.02058 0.028719 102.08 −0.00217 0.015068 102.1 −0.02279 −0.00178 102.12 0.01071 0.023104 102.14 −0.00659 0.014765 102.16 0.006528 0.019852 102.18 0.005214 0.021984 102.2 −0.00252 0.01579 102.22 0.011032 0.026308 102.24 −0.02418 0.005189 102.26 −0.01481 0.009586 102.28 −0.01232 0.011661 102.3 −0.00444 0.019197 102.32 −0.01985 0.011859 102.34 0.003785 0.027349 102.36 −0.00722 0.016842 102.38 −0.01821 0.008098 102.4 −0.0154 −0.0035 102.42 −0.00231 −0.00672 102.44 0.008561 −0.00995 102.46 0.023654 −0.00916 102.48 0.027756 −0.00688 102.5 −0.0056 −0.0234 102.52 0.020007 −0.0035 102.54 −0.00377 −0.00563 102.56 −0.00052 0.00088 102.58 −0.02149 −0.01682 102.6 −0.01192 0.009421 102.62 −0.00688 0.011326 102.64 −0.01577 0.004302 102.66 −0.0065 0.016879 102.68 −0.01563 0.005697 102.7 −0.00986 0.019887 102.72 −0.00648 0.014725 102.74 −0.0127 0.009003 102.76 −0.01673 −0.00292 102.78 −0.0091 −0.00829 102.8 0.010995 −0.0035 102.82 0.023401 −0.00055 102.84 0.016137 −0.00224 102.86 0.014258 −0.0055 102.88 0.020214 0.008698 102.9 0.002262 −0.00348 102.92 −0.00734 0.00147 102.94 −0.01204 0.001567 102.96 0.013766 0.024248 102.98 0.011548 0.010935 103 −0.00767 0.00947 103.02 0.002277 0.010909 103.04 −0.00268 0.01495 103.06 0.014563 0.02282 103.08 −0.00228 0.009512 103.1 −0.00848 0.005677 103.12 0.001457 0.01729 103.14 −0.02928 −0.00741 103.16 −0.00146 0.016224 103.18 0.000894 0.013234 103.2 0.010043 0.020246 103.22 0.017581 0.025632 103.24 0.005112 0.015947 103.26 −0.01533 0.006001 103.28 −0.00774 0.011085 103.3 0.002547 0.016729 103.32 −0.01757 −0.00266 103.34 0.004797 0.017696 103.36 −0.01248 0.005828 103.38 −0.02259 0.002359 103.4 −0.01627 0.00564 103.42 −0.014 0.005837 103.44 −0.01025 0.009629 103.46 0.020612 0.028264 103.48 −0.00651 0.013675 103.5 −0.01017 0.005929 103.52 0.022165 0.025516 103.54 −0.00054 0.01383 103.56 0.010574 0.01805 103.58 −0.015 0.003993 103.6 −0.00505 0.009703 103.62 −0.00791 0.007963 103.64 0.011568 0.022634 103.66 −0.00451 0.010203 103.68 −0.02726 −0.00169 103.7 0.002432 0.019483 103.72 −0.01933 0.006833 103.74 −0.01712 0.006514 103.76 −0.00327 0.008674 103.78 0.007754 0.02298 103.8 −0.00105 0.017256 103.82 −0.00204 0.015462 103.84 −0.01779 0.003513 103.86 −0.00126 0.016448 103.88 −0.0042 0.012736 103.9 0.024912 0.02706 103.92 −0.00162 0.016839 103.94 −0.0044 0.010535 103.96 −0.00904 0.012639 103.98 0.019292 0.026893 104 0.006823 0.016577 104.02 0.024846 0.027809 104.04 −0.00274 0.016858 104.06 −0.00606 0.016738 104.08 −0.01725 0.002008 104.1 −0.00271 0.00665 104.12 −0.01218 0.009649 104.14 −0.01267 0.004647 104.16 −0.01189 0.006343 104.18 0.006122 0.01759 104.2 0.001244 0.009688 104.22 −0.01046 0.006411 104.24 0.007301 0.017835 104.26 −0.00894 0.006875 104.28 −0.00219 0.014347 104.3 −0.01257 0.00906 104.32 −0.00129 0.013932 104.34 0.002277 0.014457 104.36 −0.02173 0.004884 104.38 −0.01135 0.002577 104.4 −0.00307 0.014301 104.42 0.013413 0.02538 104.44 0.017534 0.020664 104.46 −0.00498 0.012675 104.48 0.002742 0.012835 104.5 0.016579 0.025526 104.52 0.0163 0.025226 104.54 −0.01483 0.00426 104.56 −0.00117 0.014857 104.58 −0.00726 0.011542 104.6 0.019657 0.020512 104.62 0.005145 0.012631 104.64 0.010252 0.015038 104.66 −0.00437 0.010066 104.68 −0.00664 0.009872 104.7 −0.00302 0.01514 104.72 −0.00881 0.009691 104.74 0.013643 0.02061 104.76 −0.01097 0.004048 104.78 −0.01734 −0.00487 104.8 0.005059 0.020893 104.82 −0.02719 −0.00382 104.84 0.027941 0.027377 104.86 −0.02168 −0.00202 104.88 −0.00789 0.008775 104.9 −0.01106 0.007207 104.92 −0.01271 0.005004 104.94 −0.02582 −0.00081 104.96 −0.0091 0.008136 104.98 −0.01127 0.004315 105 −0.00952 0.009554 105.02 0.014727 0.026915 105.04 −0.01203 0.004252 105.06 −0.00101 0.015911 105.08 −0.01147 0.006287 105.1 0.008048 0.016688 105.12 −0.00259 0.012667 105.14 −0.01152 0.005486 105.16 −0.00556 0.014273 105.18 −0.02094 0.001476 105.2 −0.00773 0.003711 105.22 −0.00493 0.015045 105.24 0.01473 0.023606 105.26 −0.02534 −0.00441 105.28 0.009817 0.018103 105.3 0.002523 0.01538 105.32 −0.01831 0.002874 105.34 −0.00515 0.01166 105.36 −0.00583 0.01013 105.38 −0.00556 0.013808 105.4 0.022348 0.02419 105.42 0.000701 0.018064 105.44 −0.00345 0.007818 105.46 −0.01037 0.007088 105.48 −0.0088 0.0088 105.5 0.016801 0.021943 105.52 −0.00726 0.006799 105.54 −0.01662 0.000558 105.56 −0.00888 0.008363 105.58 −0.02103 0.004491 105.6 −0.00695 0.004723 105.62 −0.01978 0.002071 105.64 −0.01433 0.002527 105.66 −0.00086 0.013849 105.68 −0.01724 0.002792 105.7 −0.00682 0.009814 105.72 0.01154 0.024135 105.74 0.006792 0.01505 105.76 −0.00051 0.016171 105.78 −0.00798 0.015024 105.8 −0.01467 0.005263 105.82 −0.00021 0.013471 105.84 −0.01281 0.007098 105.86 −0.00287 0.012804 105.88 −0.01304 0.009589 105.9 −0.0194 0.001311 105.92 −0.01548 0.00271 105.94 0.003044 0.011975 105.96 −0.00311 0.008514 105.98 0.01027 0.018259 106 −0.02273 −0.00077 106.02 −0.00541 0.010651 106.04 −0.00448 0.014334 106.06 −0.00705 0.008191 106.08 −0.00778 0.008699 106.1 −0.00543 0.010619 106.12 −0.00708 0.002089 106.14 0.0171 0.024275 106.16 0.006664 0.013506 106.18 −0.01212 0.008006 106.2 0.013315 0.023662 106.22 0.001964 0.015711 106.24 0.001313 0.015264 106.26 −0.00615 0.012186 106.28 0.006127 0.01508 106.3 0.013736 0.023342 106.32 −0.02336 −0.00762 106.34 −0.01143 0.006585 106.36 −0.02982 −0.00649 106.38 −0.00669 0.01116 106.4 0.006944 0.018564 106.42 0.025858 0.032099 106.44 −0.01025 0.005792 106.46 0.015935 0.023187 106.48 −0.00641 0.008815 106.5 −0.00926 0.010544 106.52 0.00235 0.01222 106.54 0.000722 0.015544 106.56 −0.02454 0.000277 106.58 −0.01313 0.00806 106.6 −0.01159 0.007252 106.62 −0.007 0.009798 106.64 −0.01539 0.006324 106.66 −0.00161 0.010584 106.68 0.007559 0.019995 106.7 0.019713 0.019549 106.72 0.005422 0.020739 106.74 0.012828 0.020598 106.76 −0.00224 0.018031 106.78 0.000332 0.008492 106.8 0.019824 0.022045 106.82 −0.01073 0.001944 106.84 0.002943 0.016006 106.86 −0.00795 0.011769 106.88 0.019316 0.023791 106.9 −0.00512 0.008858 106.92 0.003515 0.015493 106.94 −0.00798 0.012767 106.96 −0.00589 0.011593 106.98 0.015292 0.017064 107 −0.02189 −0.00096 107.02 0.001306 0.018677 107.04 −0.02379 −9.9E−05 107.06 0.015543 0.021567 107.08 0.016741 0.0219 107.1 −0.01182 0.009646 107.12 0.007324 0.015652 107.14 −0.01597 0.002459 107.16 −0.01302 0.001835 107.18 −0.01422 −0.00119 107.2 −0.00784 0.013004 107.22 0.00469 0.01752 107.24 0.008393 0.017361 107.26 0.001263 0.006118 107.28 0.000093 0.01587 107.3 0.001317 0.013097 107.32 −0.00214 0.00954 107.34 0.004762 0.013939 107.36 −0.00895 0.006936 107.38 0.002873 0.018754 107.4 −0.0231 0.002322 107.42 −0.01749 0.003518 107.44 0.007306 0.015903 107.46 −0.00648 0.010782 107.48 0.009974 0.022881 107.5 −0.00434 0.012366 107.52 −0.01813 0.00077 107.54 −0.00476 0.011603 107.56 0.008645 0.015635 107.58 −0.01116 0.01196 107.6 −0.01174 0.004426 107.62 −0.01181 0.010725 107.64 −0.00267 0.015647 107.66 −0.00396 0.005611 107.68 0.013904 0.023095 107.7 0.015494 0.025259 107.72 −0.00875 0.011387 107.74 0.000734 0.013469 107.76 −0.00516 0.007431 107.78 0.006383 0.016171 107.8 0.001612 0.01599 107.82 −0.00656 0.004029 107.84 0.004053 0.013097 107.86 −0.00683 0.009138 107.88 −0.00353 0.00799 107.9 −0.009 0.002188 107.92 −0.00434 0.014196 107.94 0.013879 0.017398 107.96 −0.00471 0.008151 107.98 −0.0053 0.011018 108 −0.00028 0.014324 108.02 −0.0225 0.0024 108.04 0.013148 0.01979 108.06 −0.00057 0.013129 108.08 −0.01603 0.007563 108.1 0.017029 0.021085 108.12 −0.02203 −0.00374 108.14 −0.02152 0.001365 108.16 0.009679 0.014384 108.18 0.01137 0.018989 108.2 0.0147 0.022243 108.22 −0.00767 0.009788 108.24 0.007415 0.015997 108.26 −0.00933 0.014438 108.28 −0.02639 −0.00322 108.3 0.009964 0.02262 108.32 0.012484 0.023717 108.34 −0.0006 0.012025 108.36 0.016505 0.015613 108.38 −0.00459 0.006864 108.4 0.005136 0.018213 108.42 0.004779 0.015407 108.44 −0.00664 0.006897 108.46 0.010687 0.014099 108.48 −0.01282 0.008643 108.5 0.00435 0.01688 108.52 −0.0068 0.008414 108.54 −0.00787 0.005601 108.56 −7.3E−05 0.013434 108.58 0.004902 0.013033 108.6 0.005983 0.019497 108.62 0.000281 0.012543 108.64 0.015066 0.015597 108.66 0.011898 0.020802 108.68 −0.03065 −0.00958 108.7 −0.02216 −0.00055 108.72 −0.00305 0.012811 108.74 −0.01067 0.002516 108.76 −0.0094 0.009585 108.78 −0.00223 0.012391 108.8 −0.00184 0.009704 108.82 0.000667 0.013547 108.84 −0.00081 0.014426 108.86 −0.00124 0.012673 108.88 −0.01167 0.012171 108.9 −0.00651 0.005464 108.92 −0.0072 0.005285 108.94 0.000861 0.014206 108.96 −0.00153 0.011107 108.98 0.001541 0.013965 109 0.010388 0.019182 109.02 −0.00213 0.012545 109.04 −0.02775 −0.01038 109.06 −0.00837 0.003427 109.08 −0.01041 0.006098 109.1 0.011133 0.017993 109.12 −0.01195 0.00976 109.14 0.002812 0.013271 109.16 0.016881 0.026923 109.18 0.027616 0.026246 109.2 0.003956 0.016516 109.22 −0.00622 0.010415 109.24 −0.02133 −0.00122 109.26 −0.00439 0.008423 109.28 0.006537 0.022502 109.3 −0.01852 0.000284 109.32 −0.01076 0.006959 109.34 0.000146 0.014272 109.36 0.008017 0.020842 109.38 0.01654 0.022687 109.4 −0.01611 0.010173 109.42 −0.03907 −0.00938 109.44 −0.0107 0.007298 109.46 0.000642 0.015886 109.48 0.001855 0.016886 109.5 0.001051 0.009562 109.52 0.006437 0.018612 109.54 −0.01005 0.010844 109.56 0.000861 0.011649 109.58 0.002925 0.016154 109.6 −0.0064 0.012997 109.62 0.0001 0.015759 109.64 0.004502 0.016945 109.66 −0.02 −0.00016 109.68 0.043661 0.0421 109.7 0.01026 0.018294 109.72 −0.00713 0.008635 109.74 −0.01071 0.010445 109.76 0.017508 0.025596 109.78 −0.00645 0.017104 109.8 0.030086 0.030517 109.82 −0.00374 0.013523 109.84 −0.00598 0.008651 109.86 −0.00203 0.008283 109.88 −0.00794 0.001118 109.9 −0.01771 0.004041 109.92 −0.00503 0.009698 109.94 −0.00659 0.008546 109.96 −0.01547 0.00564 109.98 −0.03487 −0.01033 110 0.004511 0.013785 110.02 −0.01145 0.004403 110.04 0.006491 0.017589 110.06 0.004947 0.014058 110.08 −0.0142 0.0088 110.1 0.006904 0.021072 110.12 −0.01271 0.005093 110.14 −0.03184 −0.0064 110.16 −0.00327 0.008333 110.18 0.001689 0.012681 110.2 −0.00977 0.008915 110.22 −0.00121 0.007769 110.24 −0.00596 0.00734 110.26 0.004992 0.015123 110.28 −0.011 0.011551 110.3 −0.0089 0.007936 110.32 0.006331 0.019944 110.34 −0.00018 0.016992 110.36 −0.00632 0.014165 110.38 −0.00721 0.011609 110.4 −0.03421 −0.00494 110.42 −0.00257 0.019217 110.44 −0.01821 0.004355 110.46 0.003866 0.018891 110.48 0.001266 0.02082 110.5 −0.0025 0.016721 110.52 −0.00673 0.011936 110.54 −0.02095 0.000701 110.56 −0.00927 0.002971 110.58 −0.00173 0.004945 110.6 0.004059 −0.00222 110.62 0.01152 −0.00629 110.64 0.011658 −0.01217 110.66 0.019506 −0.01229 110.68 0.022104 −0.00935 110.7 0.018721 −0.01065 110.72 0.009086 −0.01367 110.74 −0.00058 −0.01713 110.76 −0.01119 −0.01299 110.78 0.00222 0.000703 110.8 0.010714 0.007021 110.82 −0.02093 −0.00747 110.84 0.003557 0.011956 110.86 −0.00173 0.011364 110.88 −0.01124 0.006089 110.9 −0.01476 0.004969 110.92 0.014183 0.021626 110.94 −4.4E−05 0.016399 110.96 −0.01326 0.005051 110.98 −0.00628 0.007444 111 0.002718 0.004715 111.02 0.004194 −0.00091 111.04 0.003605 −0.0084 111.06 0.008828 −0.01132 111.08 0.012139 −0.01184 111.1 0.000791 −0.01718 111.12 0.001154 −0.01234 111.14 0.000201 −0.01274 111.16 0.040682 0.020824 111.18 0.003197 0.004108 111.2 0.014866 0.010329 111.22 0.010559 0.006824 111.24 −0.00243 0.006253 111.26 0.031436 0.027297 111.28 0.001321 0.011124 111.3 0.004311 0.014182 111.32 −0.00011 0.01035 111.34 0.002336 0.010285 111.36 −0.01363 0.01299 111.38 −0.00353 0.010108 111.4 0.007371 0.009028 111.42 0.010059 0.017424 111.44 −0.02126 −0.00365 111.46 −0.00838 0.006878 111.48 −0.00957 0.009255 111.5 0.00548 0.017768 111.52 −0.01385 0.003921 111.54 −0.01056 0.005973 111.56 −0.00384 0.01394 111.58 −0.01418 0.000823 111.6 0.000128 0.011199 111.62 −0.01395 0.004233 111.64 0.002856 0.010183 111.66 0.010811 0.019661 111.68 −0.00989 0.00606 111.7 −0.00492 0.011221 111.72 −0.00407 0.013282 111.74 0.004195 0.018405 111.76 −0.0219 0.005153 111.78 −0.01083 0.008246 111.8 −0.00839 0.010944 111.82 0.002997 0.010201 111.84 0.004185 0.01748 111.86 0.016719 0.022698 111.88 0.003362 0.018104 111.9 0.000533 0.017458 111.92 −0.02005 0.00146 111.94 −0.03067 −0.00323 111.96 −0.00076 0.018877 111.98 −0.01122 0.012175 112 0.003265 0.017306 112.02 −0.02818 −0.00079 112.04 −0.01674 0.012315 112.06 −0.02927 0.00044 112.08 −0.01888 0.012586 112.1 −0.01729 0.005078 112.12 −0.01447 0.002822 112.14 −0.00551 0.000109 112.16 −0.0076 −0.01032 112.18 0.006828 −0.0111 112.2 0.009259 −0.01554 112.22 0.0092 −0.01987 112.24 0.020594 −0.01176 112.26 0.002946 −0.01989 112.28 0.0159 −0.00995 112.3 0.01301 0.000528 112.32 −0.01174 −0.00736 112.34 −0.00475 −0.00504 112.36 0.021828 0.021778 112.38 −0.01065 0.004502 112.4 −0.01871 −0.00092 112.42 −0.00811 0.005971 112.44 0.017433 0.017259 112.46 −0.01197 0.008293 112.48 −0.01705 0.002527 112.5 −0.01034 0.01225 112.52 −0.02496 0.00409 112.54 −0.02216 0.002684 112.56 −0.01646 −0.00091 112.58 −0.00293 −0.00126 112.6 −0.00414 −0.00906 112.62 0.016701 −0.00647 112.64 0.007807 −0.01077 112.66 0.00975 −0.01004 112.68 0.018665 −0.00224 112.7 0.011331 −0.00786 112.72 −0.00835 −0.01206 112.74 −0.00271 −0.00319 112.76 0.001857 0.001638 112.78 0.019464 0.017116 112.8 0.004835 0.004366 112.82 −0.0196 −0.00872 112.84 −0.00472 0.008354 112.86 0.001913 0.014051 112.88 0.014956 0.020161 112.9 −0.01775 0.000247 112.92 −0.01571 0.005424 112.94 −0.00275 0.008243 112.96 −0.00031 0.006547 112.98 0.000442 0.010156 113 0.015333 0.014285 113.02 −0.02237 −0.00359 113.04 0.002976 0.015847 113.06 −0.00698 0.006044 113.08 0.028104 0.034773 113.1 0.008071 0.022023 113.12 0.000704 0.015425 113.14 0.018846 0.026526 113.16 −0.00158 0.009554 113.18 −0.00792 0.007152 113.2 0.000825 0.016994 113.22 0.000695 0.010121 113.24 −0.02656 0.00115 113.26 0.023904 0.029794 113.28 −0.03 −0.006 113.3 −0.00074 0.016641 113.32 −0.01678 0.010706 113.34 0.000781 0.017067 113.36 −0.02785 0.001865 113.38 −0.02835 0.001224 113.4 −0.0281 0.003387 113.42 −0.00698 0.017486 113.44 −0.02462 0.005697 113.46 −0.01858 0.005584 113.48 −0.00813 0.007193 113.5 −0.01018 0.000089 113.52 0.006851 −0.00234 113.54 −0.00488 −0.01341 113.56 0.005681 −0.00639 113.58 0.012402 0.00389 113.6 −0.00928 0.002108 113.62 −0.00698 0.014428 113.64 −0.03049 0.001799 113.66 −0.01197 0.019535 113.68 −0.01168 0.015001 113.7 −0.01482 0.008379 113.72 −0.00412 0.004937 113.74 −0.00193 −0.00527 113.76 0.007295 −0.01145 113.78 0.009193 −0.0137 113.8 0.007872 −0.0128 113.82 −0.00197 −0.01554 113.84 −0.00596 −0.01063 113.86 0.012074 0.008671 113.88 −0.0033 0.001871 113.9 −0.00401 0.008458 113.92 −9.5E−05 0.005905 113.94 0.020134 0.024864 113.96 0.023386 0.016142 113.98 0.007707 0.005338 114 0.015248 0.009513 114.02 −0.00063 0.003426 114.04 −0.00246 0.009008 114.06 −0.02391 0.002053 114.08 −0.0038 0.019147 114.1 −0.01612 0.016284 114.12 −0.03381 0.001946 114.14 −0.01752 0.005157 114.16 −0.01076 0.006153 114.18 −0.01778 −0.00941 114.2 −0.00941 −0.01538 114.22 −0.00269 −0.00857 114.24 0.014161 0.001434 114.26 0.022701 0.008857 114.28 0.00234 −0.0026 114.3 −0.02732 −0.01569 114.32 −0.00127 0.008876 114.34 −0.00233 0.000669 114.36 −0.00592 0.003912 114.38 −0.0009 0.006057 114.4 −0.00793 0.005211 114.42 −0.00168 0.011683 114.44 0.000866 0.014732 114.46 0.011709 0.0197 114.48 0.000493 0.0159 114.5 0.010365 0.020723 114.52 −0.01247 0.003169 114.54 0.006943 0.016898 114.56 −0.01713 0.003394 114.58 −0.0181 0.005559 114.6 −0.01272 0.006538 114.62 −0.02533 −0.00217 114.64 −0.02091 0.00323 114.66 −0.0148 0.007832 114.68 −0.00827 0.010341 114.7 −0.0012 0.020374 114.72 −0.00443 0.017612 114.74 −0.0114 0.016936 114.76 −0.01763 0.014063 114.78 −0.02618 0.010446 114.8 −0.01892 0.010584 114.82 −0.02255 0.005252 114.84 −0.02922 −0.00338 114.86 −0.01562 −0.00913 114.88 0.00142 −0.00874 114.9 0.005365 −0.01099 114.92 0.007525 −0.01095 114.94 0.013741 −0.0089 114.96 0.00303 −0.00543 114.98 0.005568 0.000261 115 −0.01737 −0.01281 115.02 −0.01166 −0.00669 115.04 −0.00673 0.003316 115.06 −0.00604 0.00339 115.08 0.002793 0.016765 115.1 −0.00422 0.00912 115.12 0.029091 0.030351 115.14 −0.01021 0.010405 115.16 −0.01479 0.004536 115.18 −0.01418 0.013757 115.2 −0.03516 0.000195 115.22 −0.02597 0.009107 115.24 −0.02972 0.007761 115.26 −0.0267 0.007191 115.28 −0.01963 0.006741 115.3 −0.00667 0.007116 115.32 −0.01628 −0.0014 115.34 0.001505 0.00687 115.36 0.029066 0.012849 115.38 0.022405 0.007828 115.4 −0.00972 −0.01348 115.42 −0.02371 −0.014 115.44 −0.00234 0.000688 115.46 −0.00356 0.001133 115.48 0.01286 0.012723 115.5 −0.00086 0.005322 115.52 −0.00709 0.002517 115.54 −0.02858 −0.00978 115.56 −0.00294 0.006817 115.58 −0.00759 0.007778 115.6 0.00733 0.014095 115.62 −0.01126 0.00232 115.64 −0.0196 −0.00093 115.66 −0.01618 −0.00509 115.68 −0.00449 0.012252 115.7 −0.00639 0.013448 115.72 −0.00095 0.011876 115.74 −0.01181 0.011515 115.76 0.009835 0.019288 115.78 −0.00764 0.013829 115.8 −0.01554 0.00414 115.82 −0.01419 0.002282 115.84 −0.00577 0.001259 115.86 −0.00288 0.012564 115.88 0.007301 0.021897 115.9 0.009503 0.022772 115.92 −0.00286 0.008301 115.94 0.018627 0.020388 115.96 0.0089 0.017314 115.98 −0.00176 0.01311 116 0.002824 0.010493 116.02 −0.0201 0.000912 116.04 0.007664 0.017786 116.06 0.010643 0.015276 116.08 0.008188 0.018606 116.1 0.015788 0.018025 116.12 −0.01705 0.000792 116.14 0.000722 0.013726 116.16 −0.0028 0.012667 116.18 0.013398 0.019907 116.2 −0.02878 −0.00468 116.22 −0.00822 0.003935 116.24 −0.00783 0.007435 116.26 0.00473 0.012519 116.28 −0.0004 0.008212 116.3 −0.00574 0.011773 116.32 −0.00411 0.009648 116.34 −0.01694 0.002887 116.36 −0.01405 −0.00021 116.38 −0.00694 0.010765 116.4 −0.00927 0.006003 116.42 0.00003 0.014622 116.44 −0.00682 0.00809 116.46 −0.00392 0.012412 116.48 0.005112 0.017002 116.5 −0.0072 0.009519 116.52 0.000129 0.01605 116.54 −0.02364 0.004833 116.56 −0.01894 0.000501 116.58 −0.01009 0.010915 116.6 −0.00361 0.014601 116.62 −0.00017 0.012688 116.64 −0.01199 0.003298 116.66 −0.00421 0.009629 116.68 −0.00668 0.004538 116.7 −0.00819 0.011062 116.72 −0.02306 0.001598 116.74 −0.00081 0.01036 116.76 0.003101 0.016547 116.78 0.014171 0.023757 116.8 −0.0161 −0.00113 116.82 0.007129 0.013013 116.84 −0.02666 −0.0068 116.86 0.014072 0.019135 116.88 −2.1E−05 0.005092 116.9 −0.00918 0.007014 116.92 −0.02245 0.001916 116.94 0.001255 0.013821 116.96 0.007116 0.016323 116.98 −0.02343 −0.00575 117 −0.01921 0.003213 117.02 −0.00847 0.009964 117.04 −0.0094 0.011505 117.06 −0.00783 0.010725 117.08 −0.0054 0.007852 117.1 0.015583 0.024956 117.12 −0.02235 0.001927 117.14 −0.01175 0.006537 117.16 −0.00225 0.014178 117.18 −0.00665 0.015866 117.2 −0.0061 0.016445 117.22 −0.01037 0.013483 117.24 0.000083 0.018578 117.26 −0.01148 0.012896 117.28 −0.02023 0.007741 117.3 −0.00162 0.017161 117.32 −0.01376 0.011954 117.34 −0.00807 0.017453 117.36 −0.01227 0.013651 117.38 −0.01316 0.011214 117.4 −0.02737 0.001063 117.42 −0.01725 0.011102 117.44 −0.02083 0.012708 117.46 −0.02744 0.007306 117.48 −0.03965 −0.00446 117.5 −0.01416 0.016204 117.52 −0.03427 0.003661 117.54 −0.03547 0.000591 117.56 −0.03475 −0.00045 117.58 −0.02219 0.001408 117.6 −0.00887 0.001999 117.62 −0.00806 −0.00898 117.64 0.000098 −0.01125 117.66 0.012757 −0.01294 117.68 0.014287 −0.01728 117.7 0.013474 −0.01888 117.72 0.002099 −0.02524 117.74 0.002039 −0.0261 117.76 −0.00619 −0.02362 117.78 0.010354 −0.01003 117.8 −0.00926 −0.01989 117.82 −0.01482 −0.01112 117.84 −0.00147 0.000988 117.86 −0.00406 0.003591 117.88 −0.01675 −0.00263 117.9 −0.01413 0.006744 117.92 −0.02431 −0.00116 117.94 −0.01533 0.01011 117.96 −0.01729 0.010427 117.98 −0.01411 0.013697 118 −0.02792 0.007176 118.02 −0.0308 0.005481 118.04 −0.03761 −0.00118 118.06 −0.02366 −0.0009 118.08 −0.0124 −0.00158 118.1 −0.00641 −0.00618 118.12 −0.00316 −0.01559 118.14 0.012606 −0.01158 118.16 0.002479 −0.0222 118.18 0.011127 −0.015 118.2 −0.00254 −0.02292 118.22 −9.9E−05 −0.01557 118.24 0.00157 −0.01289 118.26 0.006153 −0.0058 118.28 0.022332 0.011982 118.3 −0.01499 −0.01249 118.32 0.003481 0.007818 118.34 −0.02536 −0.01586 118.36 −0.00987 0.005366 118.38 0.007152 0.008617 118.4 −0.02708 −0.00628 118.42 0.01761 0.020169 118.44 0.008643 0.020609 118.46 0.003394 0.011489 118.48 −0.00694 −0.00232 118.5 0.013065 0.019702 118.52 −0.00151 0.006542 118.54 −0.009 0.008803 118.56 0.002038 0.013202 118.58 0.011616 0.020439 118.6 −0.00241 0.013868 118.62 0.013087 0.020164 118.64 0.005878 0.014292 118.66 −0.00471 0.006552 118.68 0.000833 0.014114 118.7 −0.00358 0.00867 118.72 −0.00164 0.005902 118.74 0.009686 0.011759 118.76 0.002378 0.007294 118.78 −0.00507 0.00754 118.8 −0.00858 0.004964 118.82 −0.01092 0.003122 118.84 0.005075 0.013621 118.86 −0.0195 −0.00649 118.88 0.023209 0.02222 118.9 0.015314 0.023298 118.92 −0.00688 0.004848 118.94 −0.01062 0.006513 118.96 0.006225 0.014126 118.98 −0.01323 0.006357 119 −0.01464 0.005723 119.02 −0.01396 0.004828 119.04 0.009927 0.020719 119.06 −0.00086 0.010196 119.08 −0.01956 0.003068 119.1 −0.01526 0.006848 119.12 −0.00488 0.01893 119.14 0.000693 0.020902 119.16 0.003719 0.014355 119.18 −0.02016 −0.00035 119.2 −0.01557 0.008493 119.22 −0.01252 0.011614 119.24 −0.03059 0.001387 119.26 −0.01591 0.009152 119.28 −0.00636 0.015349 119.3 −0.01812 0.011047 119.32 −0.02775 0.009686 119.34 −0.03205 0.004938 119.36 −0.02416 0.012604 119.38 −0.03136 0.008209 119.4 −0.02603 0.01094 119.42 −0.02574 0.011938 119.44 −0.02573 0.010883 119.46 −0.02278 0.00714 119.48 −0.02336 −0.00179 119.5 −0.00678 −0.00024 119.52 −0.00097 −0.00812 119.54 0.015825 −0.00462 119.56 0.018466 −0.00822 119.58 0.018802 −0.00995 119.6 0.014315 −0.00994 119.62 0.00665 −0.00816 119.64 −0.00584 −0.01002 119.66 0.008738 0.001698 119.68 0.000506 −0.00251 119.7 −0.0047 0.001826 119.72 −0.00332 0.004063 119.74 −0.00352 0.002677 119.76 −0.00102 0.011956 119.78 −0.00734 0.011878 119.8 −0.00711 0.008634 119.82 −0.00715 0.012202 119.84 −0.01411 0.007991 119.86 −0.02427 0.007381 119.88 −0.01962 0.013027 119.9 −0.02421 0.011376 119.92 −0.02752 0.01389 119.94 −0.02228 0.015415 119.96 −0.01885 0.008414 119.98 −0.00649 0.009735 120 0.001124 0.008883

[0034] The lithium cobalt oxides of the present invention are prepared by first mixing together one or more lithium source compounds, one or more cobalt source compounds, and one or more source compounds that include the dopants A in the desired stoichiometric amounts to produce lithium cobalt oxides having the formula Li_(w)Co_(1−x)A_(x)O_(2+y) wherein 0.96≦w≦1.05, 0≦x≦0.05, −0.02≦y≦0.02. The source compounds (raw materials) can be the pure elements but are typically compounds containing the elements such as oxides or salts thereof. For example, the source compounds are typically hydrated or anhydrous oxides, hydroxides, carbonates, nitrates, sulfates, chlorides or fluorides, but can be any other suitable source compound that will not cause elemental defects in the resulting lithium cobalt oxide compound. The elements for the lithium cobalt oxide compound can each be supplied from separate source compounds or at least two of the elements can be supplied from the same source compounds. In addition, the source compounds can be mixed in any desirable order.

[0035] Although the lithium cobalt oxide compounds are preferably prepared by solid state reactions (i.e. dry mixing), it can be advantageous to react the raw materials using wet chemistry such as sol-gel type reactions or spray drying techniques, alone or in combination with solid state reactions. For example, the cobalt and dopant source compounds can be prepared as a solution in a solvent such as water and the cobalt and dopants precipitated out of solution as an intimately mixed compound such as a hydroxide. The mixed compound can then be blended with a lithium source compound. The reaction mixture can also be prepared by suspending source compounds in a solution of other source compounds and spray drying the resulting slurry to obtain an intimate mixture. Typically, the selection of reaction methods will vary depending on the raw materials used and the desired end product. Preferably, in accordance with the present invention, the lithium source compound is selected from the group consisting of Li₂CO₃ and LiOH and the cobalt source compound is selected from the group consisting of Co₃O₄ and Co(OH)₂.

[0036] The mixture of source compounds once prepared can be reacted to form the lithium metal oxide. The source compounds are reacted by heating (i.e. firing) the source compounds in a first heating step at a temperature below about 850° C., preferably from about 500° C. to about 850° C., to produce the Li_(w)Co_(1−x)A_(x)O_(2+y) compound. The source compounds are heated for a period of time sufficient to react the source compounds to produce a Li_(w)Co_(1−x)A_(x)O_(2+y) compound that is substantially free of lithium and cobalt phases. Preferably, the source compounds are heated for a period of time of from about 30 minutes to about 3 hours to produce the Li_(w)Co_(1−x)A_(x)O_(2+y) compound. The source compounds can also be heated in the first heating step at more than one temperature within the above temperature range and time period. For example, the source compounds can be heated for 1 hour at 600° C. and for 1 hour at 700° C. to produce the lithium cobalt oxides. Typically, the temperature and time period used in the first heating step is dependent on the raw material used and the desired grain size for the resulting lithium cobalt oxide compound. In particular, larger grain sizes (e.g. 10 microns) can require longer heating times.

[0037] Once the Li_(w)Co_(1−x)A_(x)O_(2+y) compounds are produced, these compounds are heated in a second heating step at a temperature from about 900° C. and 1000° C., preferably from about 950° C. to about 980° C., to form and enhance the hexagonal layered crystal structure of these compounds. The Li_(w)Co_(1−x)A_(x)O_(2+y) compound is preferably heated in the second heating step for a period of time of from about 30 minutes to about 7 hours. The Li_(w)Co_(1−x)A_(x)O_(2+y) compound can also be heated in the second heating step at more than one temperature within the above range and time period. Typically, the temperature and time period used for the second heating step is dependent on the grain size of the lithium cobalt oxide compound.

[0038] Any suitable apparatus can be used for heating or firing the mixture, such as a rotary calciner, a stationary furnace or a tunnel furnace, that uniformly heats the source compounds (first heating step) or the lithium cobalt oxide (second heating step) to produce the lithium cobalt oxides. Preferably, a rotary calciner is used in accordance with the invention. In addition, any suitable atmosphere such as air and other oxygen-containing atmospheres can be used in accordance with the invention as long as the atmosphere provides the desired oxygen content to form the lithium cobalt oxides.

[0039] Once the lithium cobalt oxide is at its final preparation temperature, the lithium cobalt oxide is preferably cooled at a rate of from about 8° C./min to about 140° C./min, more preferably from about 110° C./min to 100° C./min. Cooling at a rate of greater than 140° C./min undesirably produces a structure with high crystalline stress and strain that does not have the strength of lithium cobalt oxides cooled at a rate of between 8° C./min and 140° C./min. Moreover, cooling at a rate of less than 8° C./min undesirably results in the formation of localized cubic spinel-like structural phases on the surface of the crystal or within the crystal and thus decreased electrochemical performance. With the lithium cobalt oxides of the invention, the lack of localized hetero-structural phases, e.g., cubic spinel-like phases, within the crystal and on the crystal surface does not induce further phase transformation that impedes the diffusion of the Li⁺ ions during the charge and discharge cycles. Thus, the hexagonal layered compounds of the invention have better and more consistent electrochemical performance than prior art compounds that are cooled at slower rates.

[0040] The lithium cobalt oxide is preferably uniformly cooled (i.e. quenched) in accordance with the invention. In particular, the lithium cobalt oxide material is preferably cooled at approximately the same rate. For example, the variation between the mean cooling rate and the cooling rate for any specific portion of the material should be less than about 10 percent. In a preferred embodiment of the invention, uniform cooling can be accomplished using a rotary calciner, or a stationary furnace or tunnel furnace with smaller bed depths. The uniformly cooled material prepared according to the invention has greater homogeneity and less variance in its material properties than material that is not uniformly cooled.

[0041] The present invention further includes rechargeable lithium and lithium ion secondary batteries that include a positive electrode comprising the lithium cobalt oxides of the invention. Typically, the lithium cobalt oxide compound of the invention is combined with a carbonaceous material and a binder polymer to form a cathode. The negative electrode of the lithium battery can be lithium metal or alloys, or any material capable of reversibly lithiating and delithiating at an electrochemical potential relative to lithium metal between about 0.0 V and 0.7 V. Examples of negative electrode materials include carbonaceous materials containing H, B, Si and Sn; tin oxides; tin-silicon oxides; and composite tin alloys. The negative electrode is separated from the positive electrode material in the cell using an electronic insulating separator. The electrochemical cell further includes an electrolyte. The electrolyte can be non-aqueous liquid, gel or solid and preferably comprises a lithium salt, e.g., LiPF₆. Electrochemical cells using the lithium cobalt oxide compounds of the invention as positive electrode material can be combined for use in portable electronics such as cellular phones, camcorders, and laptop computers, and in large power applications such as for electric vehicles and hybrid electric vehicles.

[0042] The lithium cobalt oxide compounds of the invention allow lithium ions to readily diffuse during both the charge and discharge cycles of the battery. In particular, in the charge cycle for these lithium cobalt oxides wherein z Li per formula unit are electrochemically removed per formula unit, the lithium cobalt oxide takes the formula Li_(w-z)Co_(1−x)A_(x)O_(2+y), wherein 0≦z≦w.

[0043] The present invention further includes a method of analyzing a compound to determine if the compound is suitable for use as the active positive electrode material in a lithium or lithium-ion secondary battery. The method of the invention comprises determining a principal component space defined by the relationship ax_(i)+by_(i)≦c, wherein x_(i)={right arrow over (S)}_(i)·{right arrow over (P)}_(c1); y_(i)={right arrow over (S)}_(i)·{right arrow over (P)}_(c2); the vector {right arrow over (S)}_(i) is the x-ray spectrum for the compound; the vectors {right arrow over (P)}_(c1) and {right arrow over (P)}_(c2) are determined by measuring the x-ray powder diffraction values {right arrow over (S)}_(i) for a predetermined range of 2θ values using a predetermined step size by sampling a plurality of samples of compounds having the same general formula as the compound and using the regression of {right arrow over (S)}_(i) of the sample set against predetermined battery performance data for the samples by incorporating the samples as the positive electrode active material in a lithium or lithium-ion secondary battery. The x_(i) and y_(i) values for the compounds in the sample set that have the predetermined battery performance data are then used to determine a, b and c. The compound is analyzed by measuring the x-ray diffraction spectra for the compound to obtain x and y values and determining whether the x and y values meet the relationship ax_(i)+by_(i)≦c. If the x and y values meet this relationship, the compound will possess the battery performance and x-ray diffraction spectra suitable for use as the active positive electrode material (as defined by the predetermined battery performance values).

[0044] In accordance with the method of analysis described in accordance with the invention, it is important that the compounds in the sample set have the same general formula as the compound being tested. In addition, it is important that the compounds be tested using the same conditions to provide consistent and reliable results. The positive electrode active materials tested using the method of the invention can be any of those known in the art and are preferably lithiated. Preferably, the compound is a compound selected from the group consisting of doped and undoped lithium nickel oxides, lithium cobalt oxides and lithium manganese oxides, and more preferably it is lithium cobalt oxide as discussed above. Different battery performance properties (e.g. fade, specific capacity, and the like), and different thresholds for these properties can be used to determine the principal component space. Preferably, the samples that are used to determine the principal component space are selected based on meeting a threshold predetermined capacity fade after a predetermined number of cycles under predetermined cycling conditions. For example, as discussed above, the predetermined range of 2θ values can be between 15° and 120° using CuKα rays, the predetermined step size can be 0.02°, and the predetermined capacity fade after 50 cycles of a lithium coin cell that includes a lithium negative electrode and the lithium cobalt oxide as the positive electrode material and that is cycled between 3.0 and 4.3V at a constant current of C/3 during both charge and discharge cycles can be less than or equal to 15%. More preferably, the principal component space is defined by the relationship x_(i)+0.77 y_(i)≦−6. Although different methods can be used to determine the regression of {right arrow over (S)}_(i) of the sample set, the regression is preferably determined using a partial least squares regression method as discussed above.

[0045] The present invention will now be further demonstrated by the following non-limiting examples.

EXAMPLES

[0046] Sample Preparation:

[0047] Stoichiometric amounts of Li2CO3 and Co3O4 with about 2 molar percent in lithium excess were thoroughly mixed and then fired in air as follows:

[0048] Sample S1 was heated at a rate of about 18° C./min from room temperature to 750° C., held at 750° C. for 1 hour, then heated to 950° C. in about 10 minutes, and held at 950° C. for 4 hours, followed by a rapid cooling to room temperature in about 10 minutes.

[0049] Sample S2 was heated at a rate of about 18° C./min from room temperature to 800° C., held at 800° C. for 1 hour, then heated to 975° C. in about 10 minutes, and held at 975° C. for 4 hours, followed by a rapid cooling to room temperature in about 10 minutes.

[0050] Sample S3 was heated at a rate of about 5° C./min from room temperature to 800° C., held at 800° C. for 3 hour, then heated to 975° C. in about 1 hour, and held at 975° C. for 9 hours, followed by a cooling to room temperature at a rate of about 5° C./min.

[0051] Sample S4 was heated at a rate of about 25° C./min from room temperature to 800° C., held at 800° C. for 30 min, then heated to 975° C. in about 10 min, and held at 975° C. for 2 hours, followed by a rapid cooling to room temperature in about 30 minutes.

[0052] Comparative sample CS1 was heated at a rate of 3.75° C./min from room temperature to 950° C., held at 950° C. for 5 hours, followed by a cooling to room temperature at a rate of 3.75° C./min.

[0053] Coin Cell Testing:

[0054] NRC 2325 coin cell hardware and Celgard 3501 separators were used. The electrolyte was 1M LiPF₆ in a 50:50 mixture of ethylene carbonate and dimethyl carbonate solvents. The positive electrode consisted of about 85% active material (by weight), 10% Super S™ carbon black and 5% polyvinylidene fluoride (PVDF) as a binder polymer, coated on aluminum foil. The negative electrode was metallic lithium foil. The cell was cycled between 3.0 and 4.3V at a constant current of C/3 (3 hours for complete charge or discharge) during both the charge and discharge cycles.

[0055] X-Ray Diffraction:

[0056] A Rigaku RINT-2000 unit that included a graphite monochrometer and a rotating copper anode x-ray source was used. The current and the voltage of the x-ray source were 150 mA and 50 kV, respectively, during operation. The anti-scattering slits and the anti-divergence slits were both set at 0.5°. The x-ray diffraction scan was carried out between 15° and 120° 2θ at a step size of 0.02° and the counting time per step was 0.6 seconds.

[0057] Samples S1, S2, S3 and S4, and Comparative Sample CS1, were tested in the Li coin cells described above, and the capacity fade after 50 cycles is provided in Table 2. The x-ray diffraction spectra were also obtained as described above. Their x and y values were calculated as described above with respect to the preferred embodiment of the invention and are also provided in Table 2.

[0058] In addition to the above samples, commercial samples C1, C2, C3 and C4 were also tested in the Li coin cells described above and their x-ray diffraction spectra were obtained the same way as samples S1, S2, S3, S4 and CS1. The capacity fade values after 50 cycles, as well as the x and y values are also provided for these commercial samples in Table 2. TABLE 2 Capacity fade after samples x y 50 cycles S1 −3.22 −11.05  4% S2 −18.27 10.74  7% S3 14.55 −27.76 15% S4 −1.14 −14.71  4% CS1 21.53 −18.42 41% C1 14.46 −21.94 20% C2 8.86 −16.41 15% C3 11.91 −17.90 24% C4 28.51 −31.23 32%

[0059]FIG. 1 illustrates the positions of samples S1, S2, S3, and S4; comparative sample CS 1; and commercial samples C 1, C2, C3 and C4, in a principal component space as defined by the axes {right arrow over (P)}_(c1) and {right arrow over (P)}_(c2). The dotted line in FIG. 1 represents the equation x+0.77y=−6 in accordance with the preferred embodiment of the invention described above. As illustrated in FIG. 1, the samples prepared in accordance with the invention are on the left of the dotted line and the comparative and commercial samples are on the right of the dotted line.

[0060]FIG. 2 illustrates the capacity fade after 50 cycles versus x+0.77y. The dotted line in FIG. 2 defines the principal component space of the samples of the invention having the desired x-ray powder diffraction values and a fade of less than or equal to 15% in accordance with the preferred embodiment of the invention discussed above. In particular, the samples according to the invention S1, S2, S3 and S4 fall within in the principal component space (the box in the lower left portion of the graph) while the comparative sample and commercial examples do not. This demonstrates that the samples according to the invention have the capacity fade and the x-ray diffraction spectra that meet the equation x_(i)+0.77 y_(i)≦−6.

[0061] As shown above, the lithium cobalt oxides of the invention have good cycleability properties including good initial specific capacities and capacity fades and thus are desirable for use in rechargeable lithium and lithium-ion batteries. In addition, the lithium cobalt oxides of the present invention can be produced quickly in less than 10 hours and thus can be produced at a rate desired in the art.

[0062] It is understood that upon reading the above description of the present invention and studying the accompanying drawings, one skilled in the art could make changes and variations therefrom. These changes and variations are included in the spirit and scope of the following appended claims. 

That which is claimed:
 1. A method of preparing a lithium cobalt oxide Li_(w)Co_(1−x)A_(x)O_(2+y) having a hexagonal layered crystal structure wherein 0.96≦w≦1.05, 0≦x≦0.05, −0.02≦y≦0.02 and A is one or more dopants, comprising the steps of: heating a lithium source compound, a cobalt source compound, and optionally one or more source compounds containing dopants A at a temperature below about 850° C. to produce Li_(w)Co_(1−x)A_(x)O_(2+y); and heating the Li_(w)Co_(1−x)A_(x)O_(2+y) compound at a temperature from about 900° C. to 1000° C. to refine the hexagonal layered crystal structure.
 2. The method according to claim 1, wherein said first heating step comprises heating the source compounds at a temperature of from about 500° C. to about 850° C.
 3. The method according to claim 1, wherein said second heating step comprises heating the Li_(w)Co_(1−x)A_(x)O_(2+y) compound at a temperature from about 950° C. to about 980° C.
 4. The method according to claim 1, wherein said first heating step comprises heating the source compounds at more than one firing temperature from about 500° C. to about 850° C.
 5. The method according to claim 1, wherein said second heating step comprises heating the Li_(w)Co_(1−x)A_(x)O_(2+y) at more than one firing temperature from about 900° C. to about 1000° C.
 6. The method according to claim 1, wherein said first heating step comprises heating the source compounds for a period of time of from about 30 minutes to about 3 hours.
 7. The method according to claim 1, wherein said second heating step comprises heating the Li_(w)Co_(1−x)A_(x)O_(2+y) compound for a period of time of from about 30 minutes to about 7 hours.
 8. The method according to claim 1, wherein said heating steps comprise heating the source compounds and the Li_(w)Co_(1−x)A_(x)O_(2+y) compound in a rotary calciner.
 9. The method according to claim 1, wherein 0.98≦w≦1.02.
 10. The method according to claim 1, wherein 0≦x≦0.02.
 11. The method according to claim 1, wherein the lithium source compound is selected from the group consisting of Li₂CO₃ and LiOH and a cobalt source compound selected from the group consisting of Co₃O₄ and Co(OH)₂.
 12. The method according to claim 1, wherein said method further comprises the step of cooling the Li_(w)Co_(1−x)A_(x)O_(2+y) compound at a rate from 8° C./min to 140° C./min after said heating steps.
 13. The method according to claim 1, wherein said method further comprises the step of cooling the Li_(w)Co_(1−x)A^(x)O_(2+y) compound at a rate from 10° C./min to 100° C./min after said heating steps.
 14. The method according to claim 1, wherein the dopants A are one or more elements other than Co selected from the group consisting of Ni, Mn, Ti, Zr, V, Mo, Mg, Ca, Sr, Ba, Al, Ga, Si, Ge, Sn, and combinations thereof.
 15. A lithium cobalt oxide prepared according to the method of claim
 1. 16. A method of preparing a lithium cobalt oxide Li_(w)Co_(1−x)A_(x)O_(2+y) having a hexagonal layered crystal structure wherein 0.96≦w≦1.05, 0≦x≦0.05, −0.02≦y≦0.02 and A is one or more dopants other than Co selected from the group consisting of Ni, Mn, Ti, Zr, V, Mo, Mg, Ca, Sr, Ba, Al, Ga, Si, Ge, Sn, and combinations thereof, comprising the steps of: heating a lithium source compound, a cobalt source compound, and optionally one or more source compounds containing dopants A at a temperature from about 500° C. to about 850° C. for a period of time of from about 30 minutes to about 3 hours to produce Li_(w)Co_(1−x)A_(x)O_(2+y); heating the Li_(w)Co_(1−x)A_(x)O_(2+y) compound at a temperature from about 900° C. to 1000° C. for a period of time of from about 30 minutes to about 7 hours to refine the hexagonal layered crystal structure; and cooling the Li_(w)Co_(1−x)A_(x)O_(2+y) compound at a rate from 8° C./min to 140° C./min after said heating steps. 